This may sound strange, but say you're talking to a friend on the phone, or an equivalent. You want to ask if they have a new game or say, got the new character in a game. I realise you can ask 'have you received', but is there any way besides 持つ and ある? Like a verb to 'own' or to 'possess'?
If I'm not making sense, say if I asked you if you had a car. Would I just say あなたは車がある？ What about a new character in a game? How would I say 'do you own him' or 'have you got/received him yet'?