Oh, right, the Spice Road has it's own bar, too. I forgot about them as I've never sat inside there and thus was thinking 'cold dark place', but they exist. Again, it's not a hugely stocked bar, but it has some cool stuff.
Their specialty is again wine, including fortified ones. They also have eight or so Mediterranean beers. They have I think six mixed drinks that have nothing what-so-ever to do with the Mediterranean or Morocco despite the cutesy names that you can get from the little ice cream/slushy stand in the same building. I know one of their drinks uses pina colada mix, but I think their drinks might be premade in the slushy machine in the area I just mentioned. So instead of a Pina Colada, you might have to get their little cutely named version, which I think adds brandy. I'd check the menu: I'm sure the mixed drinks are up there somewhere.
Most of the table services have bars of some sort, as said, though Le Cellier is probably the one with the fullest menu if you're looking for mixed drinks (plus some cute flights, be they beer or whiskey). Nine Dragon's drink menu is very small, IIRC (but the Joy of Tea stand's Tipsy Ducks in Love is the best drink in creation so it evens out), while Tokyo Dining (and Teppen Edo) likewise specialize in sake, sake cocktails, and shoju. I'm guessing Chefs and Bistro- er, Monsieur Paul's mostly deal with wine. I'm not sure what the Coral Reef serves, though I think they have a bar. Biergarden has, well, beer, and lots of it. Mexico, UK, Italy, and Morocco serve what's at their local bars, mostly. All those places are more meal spots, though, save for perhaps enjoying sushi and sake at Tokyo Dining midday.