Mostly Street Fighter and related, I've worked on a number of different animated GIFs using arcade roms and the fantastic Kawaks emulator. Here's what I've come up with.
In addition to these, I put together several other pages of other sprite rips and animated GIFs:
See all 13 of Dhalsim's Animations here. GIFs of his wife as well are included.
See all 18 of Sakura's Dancing Animations here.
All of Chun-Li's animations.
SFIII Anims from this site!
See all 8 of Pyron's animations here.
Metal Slug Series
A ton of additional sprites can be found here
Super Mario Bros.
All from the SNES version of Super Mario All-Stars and therefore redrawn sprites.
Li-Li from Capcom Sports Club