I sing and accompany myself on guitar, playing only chords while singing, and of course learning some of the riffs and intros I like, but it's rarely for anyone other than myself.
-RTSS
-Bad
-UTTEOTW
-The Fly
-Lemon
-Numb
-Staring at The Sun
-Gone
-Please
-WOWY
-WUDMan
-Miami (as a surf-punk song)
-All I Want, The First Time
-Mysterious Ways
-One
-Wild Horseys
-EBTTRT
-Zoo Station
-Angel of Harlem probably
-Still Haven't found
-In God's Country
-One Tree Hill
-Mothers probably too
-Stay
-The Wanderer
-Dirty Day
-The Sweetest Thing
-Summer Rain
-Stuck in a Moment way back when, have forgotten it since
-In a Little While
-Wild Honey
-Grace (played as the Motown classic it never was)
-Sometimes YCMake It
-Yahweh
-Love Is Blindness (or at least most of it one time)
Don't know, maybe some B-sides at some point, and some halfway expeditions, like Crazy Tonight. Can't remember.
I'd most likely not be able to play too many of these, but they are usually not too complicated, so I could figure them out in a few listens or by the end of the day... :-)