Great little art museum at the Joslyn.
https://www.joslyn.org/
Saw the puppet guy at
the Funny Bone before he became famous.
Might be a little nippy, but always a good time at the Hunky Dory (Henry Doorley) Zoo - do they still have white tigers? I want to say that they now have an aquarium, but I might be wrong.
If you like aircraft, you need to go for drive to the
Strategic Air Command museum on the Interstate towards Lincoln (used to be at Offutt before they moved it). Very impressive.
And if you do that, take the time to stop at the Holy Family Shrine at the top of the hill on the south side of the road near Gretna (south and then east of the truck stop on the south side of the interstate. A spring runs from the altar into a fountain in the visitors' center... Very cool.
As someone mentioned earlier, the Old Market in the old downtown is fun with kitschy shops - if you have a shopper in your entourage - and lots of places to eat...but that's probably a lot more fun in summer when you can sit outside and have a drink.