I met somebody from OKC here last night--first time meeting her and first time at the Museum Tavern. It was her choice and a really great one at that.
Many of the reviews below mention "class" or "classy"; indeed, this place is a very class act. We just had drinks at the bar--eating here requires a reservation, at least on a Saturday night.
The menu does have a lot of great cocktails on it and from what I witnessed, they are certainly made with an expertise and care that commands a slight premium price. I'd say there are combinations of liquid here that are pretty unique--if you are venturing out of your cocktail comfort zone, this is certainly one of the new hot spots in the city to try. Boundaries are being pushed here with homemade ingredients and unusual pairings. But you can also get a great classic here. The frozen nitrogen is a nice trick.
I went with the flight of bourbon; each 0.5 oz taster, based on what I know, was something I could not get at my local LCBOs. It was great--1 was very much your typical bourbon but the other 3 were quite unique and could command their own serving during another visit.
I would think of this place as a "treat" pub--not the kind of place you'd hang out at every night (unless you are one of those well heeled fat cats that call nearby Yorkville home). This place would also work well as a date place, especially if you are looking to impress. It certainly worked as a "first time meet" place. Very recommended!