I'm wondering the same thing.
BLT- Community Hall
AKV-Community Hall only at Kidani
BLT- two main pools with a slide each. Play fountains at the CR main pool. A quiet pool at the CR main pool. A beach. Sammy Duval's water sports marina. Access to boat rentals, water skiing, parasailing, bass fishing, and sailing. Fitness center. Arcade and two shops on fourth floor concourse. Volleyball and tennis courts.
AKV- two main pools with a slide each. Play fountains at Kidani. Arcade and one shop at Jambo, arcade and one shop at Kidani. Fitness center at Jambo, and another at Kidani. Basketball, shuffleboard and tennis court. No quiet pool at either building. No lake, no beach, no marina, no boat rentals, no watersports.
BLT- California Grill, Chef Mickey's, The Wave, Contempo Cafe, Outer Rim Cocktail Lounge, Sand Bar pool bar at CR main pool, Top of the World lounge, pool bar at BLT.
AKV- Jiko, Boma, Sanaa, Mara, Victoria Falls Lounge, bar at Sanaa. No CS at Kidani. Pool bar at Jambo and another at Kidani.
I suppose if Disney's version of African or Indian food are not to your liking, then you can always catch a bus to a theme park and transfer to another bus to a resort. At BLT, you have fast access by monorail to all the restaurants at the Poly and Grand Floridian, not to mention a quick boat ride to WL and FW. No bus involved and no transfer to another bus just to get to a different resort.
So, both resorts have community halls. Both have a variety of restaurants, but BLT has 4, while AKV has 3. (And you don't have to ride a bus or walk a half mile to get to CS at BLT like you do at Kidani.) Both resorts have arcades, both have pools, though BLT has 3 while AKV has only 2. BLT has a beach and marina and AKV doesn't. From BLT you have a 10 minute walk to the MK. At AKV, you have a 10 minute walk to.... the bus stop.

I guess the main difference is the ability to see animals from your resort window instead of fireworks and the MK outside your window. I don't see significantly more entertainment options at AKV.