Texas Star is a good one in what I would call the upper mid-tier courses. Also close to Arlington. Fossil Creek or Sky Creek Ranch not too far either. Tour 18 or The Tribute are unique as they copy famous golf holes. The two courses at Bear Creek next to the airport are not bad. Cowboy Club or TX Rangers courses if budget is not an issue. All good, have fun!

You might consider Tierra Verde golf course in Arlington.....a wonderful layout and design. Try Hawks Creek in Ft. Worth and in Dallas consider Cedar Crest and Dallas Golf Club (does not get a lot of play but it is a wonderfully designed course). Designed by A.W. Tillinghast but has since been modified. Still a great layout. The Golf Club of Dallas is also a good layout and in good shape.