We will be doing this very thing this December ! We have a 5 night stay at AKV booked over New Years and our AP's will have expired several weeks before. We are not planning on doing any theme parks during this trip, but will still be at WDW.
Some things we might do -
=We have Jiko booked for NYE - it will be my 25th wedding anniversary.
-We plan on touring the resorts to take in the decorations,
-Some slow shopping in downtown disney,
-Sleep in late,
-Explore AKL,
-We'll probably hit the beach at the Poly for the Electrical Water Pagent and fireworks.
-Play some mini-golf.
-Blow any diet we are on at Beached 'N Cream.
-Get a gingerbread house at the GF for my aunt who wants one.
-Watch a movie on the flat screen in the room.
-Hang around the fire pit.
-Get on the Epcot monorail so we can ride it through the lights at the entrance to World Showcase - maybe even wait for the front.
-If a good movie just came out watch it on screen 1 or 2 at the AMC 24 theater. 3 stories tall, great sound system.
-Did I mention Beaches 'N Cream ?
-And most importantly - relax with the ones I love and enjoy !