Of course that's all I collect. But "enjoying" is often times more than just thinking "this is a fantastic game". Everything in my collection, is something I enjoy or am interested in on some level. Everything on my game shelves, I could tell you something about that game, why I like it (or don't), where I bought it, how much I paid, and what the game means to me. All of them are there for a reason, and all of them were intentional purchases. At this point, I've purged anything that wasn't.
That's not to say that my game collection is going to look like a treasure-trove of all the best games ever; it isn't. It's just what I like, what I thought was worthy of owning and displaying. Some folks equate a large collection as being filler. But you can have a lot of games, and like them too. That's where the philosophy of quality over quantity sort-of falls flat, if what you like is a lot of different things... If I wanted, I could curate a smaller collection of only the most highly praised games, but that wouldn't be satisfying to me. I don't really care what they say are the only games worth my money. It's about what I like. It's taken me over a decade to achieve what I have and all on a limited budget, and that in itself means something to me.
I organize mine by console, and then by genre, typically. Sometimes by publisher, or by chronological order of release date, when I'm feeling especially archival about a console's library. No alphabet soup for me.