I'm probably in the minority in that I actually prefer digital. It's just easier to manage imo, and on the more modern systems you kind of need a network connection to download all the patches, texture packs and sometimes the game itself even if you have a physical copy.
Now physical for me is reserved for my favorite games on the system I want to own. They serve as kind of decoration I guess, cause honestly I would prefer to own them digitally. I want people to look at my physical collection and be able to tell exactly what games I love. So my collection is more a reflection of my taste in games than a reflection of the games I've played. I own a flashcart for most of my older systems (or I've hacked them to play downloaded games, like my PSP and 3DS) so I can just download games to try before I buy them.
I wasn't always digital over physical though. Back when I was a maximalist collector (just trying to get the biggest collection I could) I was physical over digital 100%. To the point I kind of missed a lot of great digital games cause I didn't want to spend my money on digital games when I could be spending it on games for my collection.