Favorite non-floury desserts
Basically anything other than cakes, brownies, etc.
Custards of all sorts (pots de creme, flan, American-style pudding, ice cream) and panna cotta.
I'm a sucker for anything that makes good use of seasonal produce, so naturally, pies and cobblers are high on my list; though, I'm not sure if they fit your definition of non-floury.
Berries and cream/whipped cream.
Flan, or anything in the custard family.
Tapioca pudding. Poached pears. Baked apples. Dessert wine. Coffee spiked with liqueur or Bailey's. Fruit & cheese.