cook them with potatoes and onions.
grate them for pancakes or muffins.
add them to sauerkraut
Core them, add a dot of butter and granola, then bake them.
applesauce.
oatmeal.
Slice, grill, and serve atop a turkey sandwich.
pass them on to the kids--you'd be surprised at what they'll eat....I don't know how mushy you're talking, however....my granddaughter knows that if she asks for something sweet she is going to get a fruit offerred............Gramma doesn't give sweets until fruit or cheese have been eaten first
If you are doing a pork roast, you can cut the (peeled) apples into sections, sprinkle with cinnamon and a bit of brown sugar on them and put the roast on top of them.