Long list but in no particular order: (and yes, all these albums do fit that "could listen to over and over" description - I truly love all these)
Sublime - 40 Oz. To Freedom (great debut album, lots of unforgettable songs and very solid album for its length)
Sublime - Sublime (probably my all-time fave album and bought it knowing only "What I Got" and not previously being a fan of ska, punk, or anything similar! Bradley = genius, RIP Brad)
Sublime - Second-Hand Smoke (yes, a posthumous album worth a fuck - some really good stuff on this)
311 - Grassroots (the album before their hit "Down", reeeeally chill album)
311 - Transistor (highly underrated album - went back to being less commercial sounding and got back into their groove from Grassroots only spacier this time - chill album)
311 - From Chaos (their 3 hit singles from this album were my 3 least favorite songs from the album - these guys just have a knack for some really solid stuff and the songs that make the radio are always some of their worst songs for whatever reason)
Gorillaz - Gorillaz (came out of NOWHERE - Damon Alburn = genius)
Gorillaz - Demon Days (the way Gorillaz was going, if they KEPT ON going they would be my fave of all time)
Citizen King - Mobile Estates (one-hit wonder band but awesome album, "Closed For The Weekend" one of my all-time fave songs)
Tracy Bonham - The Burdens Of Being Upright (another more or less one-hit wonder who was much better than she ever got credit for - this is in my top 10, maybe top 5 albums ever)
Red Hot Chili Peppers - Californication (also came out of nowhere - have always liked these guys and glad they returned to prominence)
Rage Against the Machine - Rage Against the Machine (soooo before its time)
Rage Against the Machine - Evil Empire (somehow better than their first album)
Beck - Odelay (just a fun album...Beck = genius too)
Radiohead - OK Computer (certainly one of the best albums ever, though typically Radiohead's not my type...hard not to love this album though)
Cake Like - Delicious (Deputy Wiegel made some funky music once upon a time)
Sugar Ray - Lemonade & Brownies (This and Cake Like's Delicious have to be 2 of the most weirdly cool debut albums)
Sugar Ray - Floored ("Fly" was the ONLY non-heavy rock song on this album and its success getting to their heads fucked up a perfectly cool rock band

)
Ladytron - Witching Hour (really beautiful stuff)
Chronic Future - Lines In My Face (unfortunately their follow-up album will be their first step back - guys have been together since they were 13 and improving with every album - very interesting entertaining band)
Kid Rock - Devil Without A Cause (haven't liked shit before or after this album from him)
Korn - Korn (well before its time, still stands as incredibly unique even with all the posers following)
Korn - Issues (when Limp Bizkit was starting to steal their thunder, they came out with this and returned to bad-ass form)
Nirvana - Nevermind (not "best evar!" but still a really solid album)
Nirvana - In Utero (good followup - too bad they got cut short after this)
Nirvana - Unplugged (one of the 2 best Unplugged albums)
Alice in Chains - Unplugged (this is the other and probably even better)
Foo Fighters - The Colour and the Shape (really solid album, did not expect the Foo to do nearly as well as Nirvana and they've come pretty close)
Portishead - Dummy (the shit, nuff said)
Portishead - Portishead (the shit again, nuff said)
The Prodigy - Fat Of The Land (I have to listen to more of their albums because I've always loved this one - nice powerful shit)