What Makes a Library Collectible (to me!)
Availability
While not a requirement, I'd like to be able to find games for a console, at least some of the time. While the MicroVision is super cool, you'll never find a MicroVision game at the flea market or probably even the local game store. Resorting to Ebay to buy every single game isn't very fun and certainly isn't as exciting.
A minor point here is looking at the rarest games and seeing if they're obtainable. If you are a completionist you need to be ready for insane road blocks like Magical Chase and Stadium Events. Systems like the Game Boy and Genesis are much more reasonable to actually acquire 100% full sets of if that's important to you.
On the other hand, a good mix of rare and desirable games makes a console more interesting. The most collectible consoles are the ones with the Panzer Dragoon Sagas and Keio Flying Squadrons. The top shelf games are what makes a collection exciting.