I use Gamefaqs and MobyGames to track my collection. On Gamefaqs there's a lot of ways to categorize games like digital/physical and played/finished and more. MobyGames looks nice and both of these are games database websites so they also have tons of other info so I also just browse and find info about various games/companies/people etc.

I also use HLTB, I don't think I do a lot of managing from mobile, only from desktop.