One of my absolute favorite things about TASing is the process of discovering glitches and exploring where these glitches can take you. I like to think that over time, I've left my mark on at least some games people care about, although it's always possible that other people discovered these glitches before me.
In no particular order:
PSX Gex 3:
I did a bunch of glitchhunting some years back, some of my findings I documented in
this thread. The Gex 3 speedrunning community may have very well found them independently of me, though.
NES Castlevania 3:
When I made the TAS in early 2012, I found a bunch of interesting glitches relating to Grant. In particular, I discovered you could pull yourself through inner corners and enter walls under some circumstances, which saved some time in the TAS. I also did a lot of exploring for the
stair glitch and glitched worlds, although these things were not originally found by me.
SNES Super Castlevania:
I spent a bunch of time glitch hunting in
SCV4, mostly relating to ring stuff, the zip glitch, and the breakable block glitch, the latter of which lead nowhere. I can't say I outright discovered anything major in this game myself though.
PSX/GBA Rayman:
I've spent so much time trying to find glitches and tricks for these games. Rayman is one of those beautiful games where glitches layer on top of eachother and can be combined in all sorts of zany ways, so it's hard to say individually which of the glitches I discovered. I did explore a lot of the mechanics related to clipping through floors, super jumps, ring mechanics, zips and speed storage though, so I'm happy with that.
There is othe assorted games I did some glitchhunting for while TASing, but I think the above are the big ones. In retrospect, I can say that few things are as thrilling as just exploring the bounds of a game, discovering its weak points and seeing where exploiting them can take you. Exploring games in that way is probably some of my fondest memories related to TASing.
So uuh, yeah, I do cool shit with videogames sometimes.