I lean more towards just rich.
Fame certainly has many benefits. It opens *MANY* very exclusive doors, doors that even stay closed to money… So fame can be great. But I also hate the idea of losing my privacy to fame, of being hounded everywhere in public just trying to live my life. That sounds lame.
Being super rich? I’d mostly be able to go about live normally and unmolested. But I’d have the money for the best of life and some doors will open to me due to that. I may not be getting invites to the big celebrity parties or exclusive clubs… but I’m okay with that.