From the official WDW website regarding the AKL's rooms:
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Animal Kingdlom Lodge Guest Rooms:
These rooms feature bed(s), table and chairs, ceiling fan, bathroom with private commode, and data port on the base of desktop telephone. Rooms also feature private balcony with a standard, savannah or pool view. Non-smoking rooms and rooms for Guests with disabilities are available.
Amenities include in-room safe, voice mail, hair dryer, iron and ironing board, and 27" television. Coffeemaker and refrigerator available upon request.
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As Deb & Bill have pointed out, there should be a microwave in the Mara quick-service restaurant for AKL guests to use.
Suites at the AKL have the following amenities in
their parlor rooms (click here): sink, coffee maker, refrigerator, and microwave.
Our suite did not contain a VCR and I asked the concierge to arrange the delivery of one for me (there was a cost involved in this). I am not sure if the concierge could arrange for the delivery of a microwave to a concierge room, but it does not hurt to ask.