Do a google search on "Jacksonville Landing." It is located within walking distance of the Hyatt and has lots of places to eat and drink. If you like Cowboy style bars and dancing check out Mavericks. Twisted Martini also has some interesting people. Lot's of places to eat at Jacksonville Landing like Hooter's and American Grill. There is also a Ruth Chris across the river at the Crowne Plaza (There is a taxi boat to take you across the St John's river and back.) Check with Hyatt and see if they provide a shuttle to the stadium. If you want more oceanside type entertainment or restaurants try Jacksonville Beach, Neptune Beach, and Amelia Island. All within a 30 minute drive from the Hyatt downtown. I am going to the JAGS-Browns game Sunday. I'll save you a seat for the Raiders game
Enjoy JAX. Lot's of fun!