http://crawl.akrasiac.org/scoring/fastest-wins-time.html

this is the automatically generated top 100 fastest 3 rune games on online servers

furthermore there are numerous speedrun related bot-commands to grab statistics from the info bots (beem/seam in spectator chats as well as Cerebot and some others in numerous Discord servers)

most notable

!speedsplits [user]
shows milestones (enter lair, rune 1 - 2 - 3, enter zot, pickup orb) compared to current 3 rune world record time

!lg !bot min=dur urune=3 won

shows current fastest non-bot game.

urune=15 for 15 runes, add -log at the end for the morgue, specify species, class or god are possible options

details here or join discord to get in touch with experienced players
https://github.com/crawl/crawl/blob/master/crawl-ref/docs/options_guide.txt

also online servers support seeded online games meanwhile which we might add as category soon if theres some interest