I own a few but no where near enough to credibly call it a collection. Mostly it was just the novelty of it when I moved in with my girlfriend and she owns a record player. I still buy one once in a while and received a couple as presents, but yeah, the price doesn't justify the purchase when I use other ways to listen to music - mainly spotify - and that I simply don't spin records enough in the actual apartment for the it to be worth it considering the price. Also, part of it is that I like music as a solitary, bubble-like experience that I prefer to enjoy with headphones on. So usually, when I use vinyl, it's when me and my girlfriend are making/eating dinner, having people over and whatnot. That kind of makes it hard to concentrate as much as I would like on the intricacies of the music I'm listening to. I'm also more interested in building my personal library (of only fiction) which is far more substantial and cost-effective.
With that said, here are the one's I personally own. My girlfriend's got some cool one's too, though.
The Velvet Underground & Nico (1967)
The Velvet Underground (1969)
Walk on the Wild Side: The Best of Lou Reed (1977)
Rock n Roll Animal by Lou Reed (1975)
Changesonebowie by David Bowie (1976)
Best of the Beach Boys (1966)
Power, Corruption & Lies by New Order (1983)
Safe as Milk by Captain Beefheart (1967)
The Modern Dance by Pere Ubu (1978)
Room on Fire by The Strokes (2003)
Here Come the Warm Jets by Brian Eno (1974)
Good Kid, Maad City by Kendrick Lamar (2012)
How I Got Over by The Roots (2010)
The Anthology by A Tribe Called Quest (1999)
I think I'm missing a couple, though. And a bar acquaintance of mine owns two copies of Taking Tiger Mountain by Brian Eno so I'll be getting one of those for free eventually. And besides Rock n Roll Animal, all the Best Of I've got I've received for free.