I visited Tulsa this summer for a couple days and did touristey things. Pinned (hehe) a bunch of things to a Google Map after talking to some locals for recommendations. Here it is in case anybody wants to take a look:
https://goo.gl/maps/L9RYbcnQEvrBuWdy7
My favorite spots were The Gathering Place (a world class park that you could spend an entire day in) and walking around Downtown. There's a lot of cool architecture downtown and it's a fun walk after 5 PM when the offices empty out. Good restaurants, bars, music venues. Velvet Taco was my favorite place to eat, went there twice, they have a bunch of fun fusion tacos. The Philbrook Museum and Woodward Park have really nice gardens that you can walk around w/o paying admission and are both next to each other and close to The Gathering Place. The Philbrook was closed when I was there, but its supposed to be quite an attraction. There's a couple hip neighborhoods if you want to cruise, Brookside and Cherry St. If the weather is crap you can go down to the Oklahoma Aquarium in Jenks which is decently fun. Apart from those highlights feel free to take a look at my map above! Hope this helps anybody!