I'd like to point out that Bathhouse_Owner was on his way to make really good, up to date notes but life got in the way, apparently.

Pastebin from EnsgMaster for reference: https://pastebin.com/ePBAKWSi

"Basically going for Rotten before Dragonslayer/Flexile saves about 15s (the running is faster mostly by not having to sit at the bonfire to change Lenigrats' location and not picking up the bone, the slower Rotten compensates the faster Dragonslayer/Flexile) Going for +10 takes about 50s (Getting the 3 chunks + slab takes 30s, 2 warps take 15s and homeward after the 2 chunks on the ledge costs about 6s), saves about 25s by saving a Majula trip and not having to kill the Drangleic Lizard. You have a better weapon for 13 bosses, saving a good 25+ hits. In my estimations it's an average 30s timesave, so +10 saves only 5 seconds, but fights are a tiny bit more consistent. So all in all, only a 20s timesave, but still a timesave!

• Start Explorer/Healing Wares
• Kill Maughlin with witching urns
• Talk to Emerald Herald and then run away
• Light the bonfire in Majula, then head towards Cardinal Tower ( Don't pickup the Homeward Bone!)
• Light the Cardinal Tower Bonfire
• Use soul while talking, Buy Axe; Firebomb
• Blow up the poorly made wall and run towards Last Giant

Last Giant (Axe, Ooze, 2 Urns)

• Dark Sign quickly
• Pop Lst Giant Soul, buy Key, 2xBB, Firebomb
• Get the Ring, Send Melentia to Majula

Pursuer (Ballista)

• Get Large Titanite on ledge
• Destroy the wall with the barrel, use firebomb if needed
• Sit at bonfire to remove agro (or bone back if impossible)
• Get 2x Large Titanite in chest
• Warp to Majula
• Talk once to Herald, open blacksmith door and run to Dragonrider

Dragonrider (Gravity)

• Pop Pursuer soul

• Take bonfire and warp to Majula

• level up to 18 END, 8 INT, 12 DEX

• Pick up the bow by the blacksmith

• Buy Rapier, Mace, 7 shards, 21 Arrows, Rapier+5, Mace+1

• Pop Pursuer soul while talking to the cat

• Buy Cat Ring, 10 skulls and 4 bones

• Drop and take the bonfire

• Kill the Lizard with the mace

• Pickup the branch in black gulch

• Light the second bonfire in black gulch

Rotten (Rapier, Ooze)

• Run through the 1st DLC, light the second bonfire.
• Grab the 20k soul with the Dragon Charms
• Grab Flynns Ring, get Dragon Stone, grab secret bonfire, warp to Heide's Tower

Ornstein (Rapier, Ooze)

• Bone back
• Shoot the bell and use the strat you want for No Man’s Wharf
• Talk to Carhillion, buy the staff and Yearn

Flexile Sentry (Rapier, Ooze)

• Homeward Bone back and warp to Majula
• Level up to 19 VGR, 25 END, 13 ATT, 8 FTH
• Buy 3 Brightbugs
• Buy Cleric’s Chime, Force, Homeward, unlock the path
• Buy 5x Dark Resin, Dark Weapon from Felkin
• Light the Bridge Approach bonfire for later use (Chariot) (-Skull for the lever and Resin while waiting for the bridge for more consistent skellies)

Skeleton Lords (Mace)

• Buy Soul Appease, talk to Chloanne enough to send her back to Majula, resin while talking
• Grab Chunk in poison mist
• Pick up the torch
• Do the fancy OOB skip

Covetous (Rapier)

Mytha (BB, Rapier, Dark Pine Resin, Radiant Lifegem)

• Do the fancy jump before Smelter
• Pick up Dull Ember

Smelter (BB, Rapier, Dark Pine Resin)

Old Iron King (BB, Rapier, Dark Pine Resin)

• Leap of Faith
• Light the second DLC bonfire
• Double Pseudo Cancer Jumps
• Light the third DLC bonfire and warp to Majula
• Buy 3 BB, 3 herbs
• Level up to 16 ATT, 19 INT, 19 FTH, (leave at least 15000 for McDuff)
• Attune Yearn, Homeward, warp to the last DLC2 bonfire you got
• Get the Scorching Iron Scepter and Homeward back
• Place the scepter, use herb and Estus
• Get the 2x Chunks + Key on the ledge then homeward (timing should be fine if the stamina management is good) (the lizard next to the 2x BB has a 1/3 chance to drop 3 chunks + 1 slab, which would save 20s on this route, so that's a possibility to save terrible paces)
• Warp to first DLC2 bonfire, get the 3 chunks + 1 slab on the last door next to the buffed armor (Peach strats: there are 5 flme butterflies right next to them, and also a +3 life ring but this one is long/tricky to get)
• Attune Dark Weapon and Soul Appease, warp to Lost Bastille
• Give Dull Ember to McDuff, Buy 2 Large shards, Upgrade Rapier +10, Infuse Dark

Sentinels (Rapier, Dark Weapon)

• Light the Servants Quarters Bonfire (- Get 2x Radiant Lifegem in chest on Belfry Luna roof, shouldn’t waste any time)

Gargoyles (Rapier, Dark Weapon)

• Homeward Bone back
• Use Soul Appease at grill
• Before Grill and on elevator, use Herb + Repair Powder

Sinner (Rapier, Dark Weapon)

• Warp to Majula
• Buy 5 human effigies, 40 gems, 10 Radiant lifegems, 3 BB
• Use Herb waiting for door to open
• grab Fork Ruins bonfire
• Grab the Chloranthy ring +1
• Light the Shaded Ruins bonfire

Najka (Rapier, Dark Weapon)

#Rat Authority (Rapier, Dark Weapon, Soul Appease)

Congregation (Rapier, Soul Appease)

Freja (Rapier, Dark Weapon, Skulls)

• Talk to Aldia, Bone back
• warp to Tomb of Saints

Mini Rats (Soul Appease, Rapier)

• Attune Homeward, warp to Fork Road bonfire (-Grab Divine Blessing after DLC for desperate times)
• Pop your souls while waiting for the big door to open
• Grab the King's Gate Bonfire
• Talk to Gandalf, Homeward back to bonfire (-Grab 3xOld Radiant Lifegem, 10k souls)

Dragonriders (Rapier, Dark Weapon)

• Light the Central Castle bonfire

• Grab Fire Butterflies

• Use Herb on elevator

• Get the Key and Homeward back (- Grab the alluring skulls before Mirror Knight if you need more of them)

Mirror Knight (Rapier, Dark Weapon)

• Use Herb on elevator
• Pickup Red Iron Twinblade in Shrine of Armana

Froggy Frog (Rapier, Dark Weapon)

• Buy all the shrooms from Agadayne + Ring of Thorns
• Light the Undead Ditch in Undead Crypt
• Pull the lever to open up the shortcut for Vendrick later

Velstadt (Rapier, Dark Weapon)

• Grab the King's Ring and then Homeward back
• Warp to Fork Road bonfire
• Grab RTSR
• Use Dark Weaponin front of trap door for RTSR setup

Guardian Dragon (Rapier, Dark Weapon, RTSR)

• Dragon Aerie skip
• Talk to Aldia
• Use BB early after the second guy in armor (can prevent stupid limbo death)

Ancient Dragon (Rapier, Dark Weapon, Brightbug, RTSR)

Giant Lord (Rapier, Dark Weapon)

• Don't forget to pickup the Soul of a Giant, then Homeward back

(there you can either level up with a somewhat low but manageable 40 VIG, or do Fume + Smelter with 19 VIG, and then get 45+ VIG and more INT) (There is also no need to equip the robe after Ancient Dragon, Fume Knight and Smelter)

• Warp to DLC2 Foyer bonfire (if you do RTSR Fume Knight, I would do Smelter first, if not, Fume first)

Blue Smelter (Rapier, Dark Weapon, Brightbug)

• Bone back and warp to the 2nd DLC2 bonfire

Fume Knight (Rapier, Dark Weapon, Brightbug)

(possible fight with RTSR)

• Bone back to elevator bonfire
• Warp to Majula
• Buy 3 BB
• Buy 4 shards, 6 large shards, 6 chunks, 2 Boltstones from Chloanne
• Level up 45 VIG, 28 END, 16 ADP, 16 ATT, 13 STR, 20 DEX, 22 INT (for longer Dark Weapon duration)
• Warp to McDuff, attune Yearn
• Upgrade Red Iron Twinblade to 10+, infuse to Lightning RITB and Rapier

From there there are no specific order for bosses

Giants (RITB, Dark Weapon)

• Homeward back
• Talk to Gandalf and bone back
• Warp to Undead Crypt

Vendrick (Rapier, Dark Weapon, Brightbug, RTSR) (With 3 giant souls)

(RTSR setup: 2 one-handed hits from Vendrick)

• Warp to the first DLC
• Pickup Gank Squad Key and Homeward back
• RTSR setup on fall

Elana (Red Iron Twinblade, Dark Weapon, RTSR, Brightbug)

• Use Elana soul and Dark Weapon waiting for door

Sinh (Red Iron Twinblade, Dark Weapon)

• Pickup the 2 Brightbugs before Gank Squad

Gank Squad (Red Iron Twinblade, Dark Weapon, Brightbug)

F***ing Aava (Red Iron Twinblade, Dark Weapon, Brightbug)

Old Chaos (Red Iron Twinblade, Dark Weapon)

Ivory Dude (Red Iron Twinblade or Rapier, Brightbug, Dark Weapon)

• Homeward back
• Get Garrison Key
• Use Yearn to distract Golem and pull the lever

Double Kitties (Rapier, Brightbug, Dark Weapon)

Chariot (Rapier, Dark Weapon, Yearn)

Sir Alonne (Red Iron Twinblade, Dark Weapon, Brightbug)

(- Attune Force instead of Homeward if Force strats)

• Survive the 1st Dungeon (Use Mushroom, possibly Force, Dark Weapon twice)

• Warp to Black Gulch (attune Homeward)

• Survive the 2nd Dungeon (Use Brightbug, Dark Weapon)

• Homeward and Warp to King's Gate

• Survive the 3rd Dungeon (Use Dark Weapon)

Darklurker (Red Iron Twinblade, Brightbug)

(Dark Weapon adds only 10% damage so will rather use it if he teleports or flies)

• Homeward back to bonfire
• Equip King’s ring, activate door

Watcher and Defender (Red Iron Twinblade, Brightbug, Dark Weapon)

Nashandra (Red Iron Twinblade, Dark Weapon)

Aldia (Red Iron Twinblade, Dark Weapon)

(For no buff strats: 4 hits on the spawn, 4 hits on the first attack, then should be possible to kill him on the next punishable attack)"