DH and I love our adult beverages in WDW
He is an almost-exclusive beer drinker, while I'll have a little of everything.
I highly, highly recommend the popcorn cart in Canada by the Le Cellier entrances. DH has fallen in love with the Unibroues there, but our new favorite beer is St Ambroise Apricot Wheat. It's the most refreshing beer I've ever had at Disney, especially if the heat is scorching. I believe they occasionally rotate the beers out here, so your mileage may vary, but absolutely check it out!
At the UK I enjoy a Strongbow Cider, or on our last trip a Cider & Black (Strongbow & Blackcurrant, less dry & sweeter). DH loves whiskey, so at the pub inside Rose & Crown he will order the Johnnie Walker Flight, which is pours of Black, Green and Gold. It's one of the few places you can find Green we were told, so if either of you are whiskey fans I would check it out!
In China our friends rave about the Canto Loopy (I'm not a cantaloupe fan, so I can't speak to it myself) and I've heard the Tipsy Ducks in Love is one of the strongest drinks on property (I don't eat chocolate, so again can't say myself!)
In La Cava I enjoy the Avocado margarita, though I've been tempted to try others!
Finally, we simply adored Trader Sam's our last trip. Get there by 3:30pm (bar opens at 4:00pm) if you don't want to wait as long to get inside (and trust me, you want to sit inside!) thanks to the limited capacity. We arrived at 4:30pm on a Monday night in June and only had to wait about 30 minutes (we just explored the Poly shops) but the later you get, the more crazy it'll be. The drinks are fantastic, the shenanigans are worth seeing, and we can't wait to go back! I had the Polynesian Pearl and DH had the HippopotoMai-Tai and we would both get them again. All drinks there come with a souvenir version of the specialty glass you can take home, and if you're looking to save money you can ask the server for no souvenir glass (except for the Polynesian Pearl, because the glass is plastic & can't be reused at WDW you have to take that one home with you). Under 21s are allowed in up to a certain hour (I want to say 9pm, but double check to be sure).
Happy drinking!