A game can be nondeterministic and yet have no decisions to be made by the players, so you might want to think of a better label ("decision-free"?).
True, "deterministic" might be a bit narrow, but then decision-free might be also - many puzzle-solving or knowledge-based games could be considered decision free. Maybe "(pseudo)/random outcome" would be better. But clunky.
Do you have trouble filtering out games like CandyLand or Snakes & Ladders? What non-children's games really have no decisions to be made at all?
I'm sure that there any many such games in the database, including many that I've never heard of - there are plenty of linear roll-and-move games around. This is more just a general database usability suggestion, though it would be interesting to find out what is the highest ranked entirely deterministic game in the database!