Tips and skips:

• Stage 1: Please Wait - Stage 4: Caged | Straight forward. Jump into the beam of light to save some time.
• Stage 5: Trust | As far as I know, there is no way to skip the crawling monster, you have to wait for him to move. That said though, you can jump pretty early into the right side of its white circle.
• Stage 6: Goals - Stage 8: Level One | Straight forward. To save the most time, you really just have to remember which level is next to do the correct movement.
• Stage 9: Time Limit | If you start going immediately at the start, it's possible to do a cycle skip where you jump on a 3-pixel gap on the right side the first crawling monster. Jump around him, then wait a fraction of a second to continue onto the second platform.
• Stage 10: Needs - Stage 11: Hurdle | Straight forward. Try doing larger jumps on Hurdle, to amost collide with the last crawling guy, but save some time.
• Stage 12: Safety First | It's faster to use the button and make a bridge.
• Stage 13: Breakthrough | It's possible to jump through the gap, you just have to be precise.
• Stage 14: Reflex | Jump onto the button, then even before the block falls, try to jump on it to save some time. Then try to not stop holding right and jump at precise timings to avoid the second button and the crawling monster.
• Stage 15: Impossible | At the upper part, try to jump backwards to save some time. As you get down, you can almost collide with the first upper gem to move faster.
• Stage 16: Antonym | After you grab the High Jump Boots, jump onto the blocks that stick out, then jump onto the breaking platform immediately to save some time.
• Stage 17: The End | At the end of the level you can skip going down on the stairs. There is no roof, just jump over the last wall.
• Stage 18: Not Quite | Jump from the rightmost pixel of the starting platform to land in the top part of the beam.
• Stage 19: K | Quickly grab the rightmost 2 spikes otherwise you're wasting time.
• Stage 20: Missing Piece | Grab all the spikes first, then go up where you're inline with the flying monster. Wait a second for it to descend a bit, then shoot 12 spikes to the right to create a platform for you to finish.
• Stage 21: Ascend | Go to the right, and as you're coming out of the invisible corridor, hit your head on the ceiling to quickly press the button with the first jump. Jump out, and grab a couple spikes (you really only need 2), jump around the top platform and shoot one spike, jump down and shoot another further down, that you immediately land on.
• Stage 22: Walljump | Collect 4 (or at most 5) spikes, stand on the button and start your ascend to the left. There is not much to say, practice this to be able to jump + shoot fast.
• Stage 23: Drop 3 (aka Runkiller) | GEM SKIP: It's possible to land between any 2 adjacent gems and fall down without dying. Though there is only a 1 pixel gap to do so. Practice jumping and aligning yourself between the gems. If you have a feel for it, you can try to not jump (this way it's faster, but you have less room for error, since you can't align yourself witht the gap). If you can't find the gap, try to jump on the leftmost pixel of the right gem or try to jump on the exact side of the platform below. This saves about 8 seconds if you do it first try.
• Stage 24: Destruct | Grab the spikes and quickly press J+K at the first wall to break the bottom block. Get into the gap and shoot 5 more spikes to break all the walls.
• Stage 25: Symmetry | As the first crawling monster goes to the right, break the platform without falling down - by just slightly standing on it. As the first crawling monster gets to the right, jump down, wait, and jump onto the second breaking platform to get down quicker. Collect 1 spike, shoot at the wall and jump immediately, and get to the beam of light from the top, since there is no roof.
• Stage 26: Trades | Jump twice to the right then twice to the left.
• Stage 27: Raids | Hold right and jump at the end.
• Stage 28: Maids | Go LEFT, fall down, hold right, at the bottom right hold left, fall down again, hold right, and jump. Got it? Okay.
• Stage 29: Dec-- | You really only need 7 spikes out of the 10. Walljump using 3 of them, then jump at the end of the platform, and land on the floating one. Shoot 3 spikes to the right and jump at the very end of the platform. Stand on the left of your 3 spikes, jump and shoot one up right, and immediately land on it. This way you can get on the roof. Jumping is faster, because you can get stuck on something that we can't see. Align yourself with the second to last pillar. The roof continues for about 1.5 wallwidths. If you get to the end of the roof, it's possible to jump over a gap in the roof, to get to the beam of light from the top (which is about 1 second faster than falling down and jumping into the beam of light).
• Stage 30: --eit | Jump on the circular blockformations and avoid gems (duh). You don't need to jump on the last to squares, you can make it into the beam of light.
• Stage 31: Deception | Jump to the end, and wait before the beam of light, which would take you to ending 1/2. This waiting around takes about 13 seconds. You can go as soon as the beam shrinks a bit in size. Go forward and collect 2 spikes. As you jump out, shoot 1 spike inline with the pupil of one of the eyes in the background. Jump onto the spike you just shot, and get to the final boss. After he says "us both", jump into the pit, but break your jump by shooting a spike. Then adjust your jump, so you don't actually land in the pit. The fastest way I know to kill the guy is to get another gem skip between the bottom 2 gems, which you achieve by breaking your jump right above the gap between the 2 gems, then adjusting your jump to fall between the two.
• Stage 32: Poetic End | Jump into the beam of light without taking my PB. (Edit: Too late for that :( )