How many miles and where do you want to go?

Close-in tends to be good for LH F. Looks like NH F is open for LAX - NRT and IAD - NRT on Friday with availability to connect from ORD. Some options I found with a quick few searches

1) 1230am (Saturday morning) BR flight ex-ORD is open in J as a jumping off point to Asia.

2) ORD - IST TK flight on Friday is open in partner J for connections into Europe.

3) ORD - BRU flight on Friday is open in saver J (57.5) with a few connection options (e.g., LHR) for cheaper UA Saver J to Europe price.

4) IAH - SCL flight on Friday is open in Saver J with Y connections from ORD for South America. IAD - GRU and IAH - GIG also open in Saver J for Brazil again with Y connections from ORD.

Basically no real list just go onto UA.com and do some random searches - you should be able to ID opportunities based on trunk routes that show availability (such as the above) and then try and build through that (say you decide Europe but don't want to do BRU or LHR, see if you can get something that goes ORD - BRU - XYZ).