As dismommy said above, if cocktails are something you enjoy, you can't beat NCL's offers they have been doing the past two years or so. They are basically "including" a choice of two (or 5 depending on category booked) "free" offers. We always pick the Unlimited Beverage Package and Free Specialty Dining offers, but there are some others that may appeal to you as well. I put the "free" in quotes because obviously they have worked the cost into the fare, but depending on your alcohol consumption, it's a fantastic deal. You pay the gratuity on it, which comes to about $95, so for they cost, you can try any cocktail you like under $15 all week long.
Escape is a great ship, as stated above, it's brand new. The adult pool, which isn't really a pool, it's a waterfall grotto, is my favorite adult pool I've ever had on a cruise. 15 DCL, 2 NCL and 3 RCI. I also LOVED their night time parties. If you like nightlife as adults, you don't want to miss the theme parties. Thy are held at Spice H2O, which is the adult pool/deck area, so just the outdoor venue we thought was really great. Tons of bars and restaurants, free and up charge, so you'll never go hungry. I love sailing out of Miami, it's beautiful scenery to watch as you pull away, and a fun city to spend the night in before the cruise. The other show besides After Midnight, is For the Record: Dear John Hughes. It was terrific for an 80's kid who grew up on John Hughes movies. It was definitely NOT sanitized, as in there is adult language and guys and girls dancing in their underwear for entire scenes.
Also been on Allure, and it is a big ship, but laid out so well that honestly, it never felt crowded EXCEPt for in their adult pool, the Solarium. The pool is just way too small for a ship that size. Same complaints people have had about DCL pools on these boards for years. I also loved Allure, but I think you mentioned Oasis is now in the running, which a sister ship, so imagine it's quite similar. For me personally, given the two, oasis or escape, I'd choose escape again. Cats is the Broadway show on oasis now. Both have greet specialty dining options, but the adult pool and activities and the free beverage package and specialty dining would give escape the edge, in my opinion. If I can answer any other questions about escape or allure or RCI/NCL, feel free to ask, I'll share what I can based on my experiences on both.
Not just abbreviated versions of the shows...actual full length Broadway shows. If you're looking for awesome entertainment, definitely stick with one of these 4 ships. The Sky's entertainment was weak and paled in comparison...I was happy the cruise didn't last longer than 4 nights! (Kidding...I LOVE cruising no matter what! 
