maybe a marinade- south american- juice the oranges and add cumin, garlic, oregano, mint, a little bit of honey or sugar, salt, pepper marinate some skirt steak or chicken in it for a day and grill.

I Juice them into iced tea.

I'd look for reipes with blood oranges, which are sour in the same way.

I've never heard of sour tangerines, but for lemons, I like to slice them translucent-thin, and put them on top of any kind of fish that I'm grilling or baking.
I also like them on top of chicken cutlets (pounded, floured, then sauteed both sides and served with a butter/lemon/pan-dripping sauce).

Just find a recipe that calls for lemon. Fish or chicken is always easy, or google something for red meat and lemon.

Husband took home a box of sour tangerines from Giant the other day - they taste like lemon.

I'm having a hard time finding a good recipe to put some of these to use. Any suggestions?