All of them?

By which I mean, when I listen to twentieth- and twenty-first century music, it tends to be because someone sent me a song and said "Here, you'll like this." Since I generally only ever acquire individual songs, I don't even think in terms of albums.

With classical music, on the other hand, I have to listen to complete works-- not necessarily whole CDs, which may be a potpourri, but I dislike just listening to a single movement of a long work if I'm not going to listen to the whole thing.

Some of the 80s pop acts I still like and some of the more modern poppy acts.

Recent bands have a horrible tendency to have half the album taken up with crap filler tracks and horrible ballads rather than awesome pop songs.

Mostly older bands.

Creedence Clearwater Revival (Chronicle)
Rolling Stones (40 Licks)
Eagles
Tom Petty and the Heartbreakers

Although, occasionaly I find a collection from a band I really liked but don't have any music of anymore such as:

Live

A few bands. Mainly MOR rock like Journey, Styx or Asia.

That was me, BTW. :-)

Offhand, I can think of a few: The Cult, and Danielle Dax, and Wasis Diop, and Amina Annabi.

If I had to dig, there might be a few other bands where I only have a "best of" and nothing else. Sometimes there is a good reason for this. In the case of Danielle Dax, her "best of" actually contains loads of stuff I'd never heard, and she's so obscure I was amazed there even WAS a "best of", and it was the only album I could find. Wasis Diop and Amina Annabi were both bought as samplers, and though they are very good, we've never expanded into buying more (interestingly, they actually share one song, "Digge", since they recorded it together; a bizarre coincidence as I came to both from completely different paths).

Oh, we have the 2-CD Led Zeppelin compilation thingy. Just because we didn't have any of their stuff in electronic format.