I would go with mushrooms to the same direction as the others did (risotto / pasta / sauce for meats) or pulverize it and use it as a seasoning for meats, bread, savoury tarts, oils, dressings,...
With the cherries you could make brownies, gateaux-like cakes, cherry sauce for game meat, filling for strudel with poppy seeds, cold cherry soup (really good on a hot summer day), filling in a pie, clafoutis, cheesecake,... Pretty much any dessert you can think of.