Loyal Gamer - my Steam library consists of:
> Civilization III
> Civilization IV
> Civilization IV: Warlords
> Civilization IV: Beyond the Sword
> Civilization IV: Colonization (last four bought in a bundle, but displayed separately for some reason)
> Civilization V (Complete edition)
> Civilization VI (with all expansions and DLC so far)
and then about a handful of other games. I've actually started playing Civilization and Colonization on my AMIGA about a quarter century ago, and then never really stopped. I still have boxes of the "Alpha Centauri" offshoot somewhere in the basement, some day I need to find out if they still run on modern hardware.
Non-competitive gamer - This is similar but not quite the same as a "casual" gamer, I think. I play for the story, whether that's a story built into the game (in RPGs etc.) or one that just naturally evolves from playing. I don't need the game to be overly challenging or difficult, so I mostly play on lower difficulties.
Completionist gamer - if there's stuff to collect, I want to have it all! It took me a while to collect all 120 stars in Super Mario 64. It probably took me even longer to get all the secret items in Final Fantasy VII. I don't even want to admit the amount of time I spent crafting carzy stuff in Terraria... :D