We have lived in the Dallas metro area for nearly 10 years total (as of the edit I did in 2017). Here are a few things we were able to enjoy fairly easily, and that I recommend. The day trips require no overnight stay, but some will have you leaving your home in the early morning hours.
Visit the beautiful Wichita Mountains Wildlife Refuge – It’s only about a three-hour drive away, and it’s like nothing else you’ll see driving twice that distance. A day trip is a bit of a stretch, but my son and I made a whirlwind visit up there on a Saturday — out at 6:30 a.m., home by about 10:30 p.m. We saw lots of buffalo within arm’s reach of our vehicle, longhorn steer, and of course the prairie dog town. The mountains look like huge piles of rocks, and several small lakes and clear streams add to the scenery. While on the trails we rarely saw other people. Later we returned with my wife and camped overnight, which made it a much more complete experience. We saw a bull elk grazing streamside and toured the visitor’s center. While in the area, stop at Mt. Scott, especially if you cannot hike. You will get nice views from just driving to the top.
Explore the JFK assassination site and memorial – We dropped by spontaneously after seeing a show at Medieval Times. We posed on the grassy knoll alongside visiting friends, while a local snapped our picture, and then strolled up to the John F. Kennedy Memorial Plaza. The museum was closed, but I can only imagine it would add to the experience.
Experience a meal and a show at Medieval Times – Twice we have stepped back in time to enjoy the staged jousts, sword fights, and royal intrigue. Only a Renaissance festival can come close. You’ll need to be prepared to eat without utensils, but you can go anachronistic and have a Pepsi.
Laugh at an improv comedy show at Four-Day Weekend — A talented comedy troupe that performs in a creaky, vintage Fort Worth theater, this group provides improvisational comedy that had the crowd in stitches both times we went. There’s a full bar for refreshments, if that’s your thing.