1st trip without the kids and you are looking for bars...sounds like this calls for the monorail drink your way around..lol.
Hope on the monorail, stop at the Poly, they have a great bar upstairs, stop at the contemporary, also a great bar..4th floor I believe, and then the GF. Only the outside bar open during the day.
Stopping at AKL is always nice, we skip Victoria Falls and head straight down to the little bar at Jiko (if you are going in the evening). The bartenders are fantastic, and you can get food if you want. Pool bar at AKL is also nice.
WL also has a great bar inside, and we enjoy the pool bar there as well. Just depends on what time of day you are going.
Inside AK we stop at the bar back by Tusker House..you will find it gets very busy, lol, especially when it is warm.
Inside EPCOT (World Showcase), we stop for drinks in all the countries..no favorite, we like them all..lol.
Inside MGM, never really stopped for just drinks, but I think there is a bar in 50's Prime Time Cafe. They do have some good wines there as well.
Now in downtown disney....We love Raglan Road..it opens at 3pm. Nice bar in House of Blues also.