Ice cream, soup (add crackers and let them soften, if you want), possibly noodles.

One snack food you can eat without chewing, goldfish crackers. One or two at a time, just let them soak up saliva in your mouth and soften before swallowing.

Certain hard candy, as long as you don’t suck on them too hard. Think peppermints, something that’ll make you salivate (which will help it dissolve without having to suck on it too aggressively – you do not want dry socket). Also, any other soft candy that’ll dissolve, like York peppermint patties, might be okay.