We tend to worry about any mechanical parts of the RV that don't get used when sitting for months at a time (i.e. slideouts, jacks, etc.) and we are always concerned about tires, wheels, brakes, and any part of our running gear that may have rusted or lost its lubrication.  We don't have automatic levelers, but we would worry about those too if we had them.  

Ideally, we should run the slides in and out each month, and it would be best for the RV to hitch it up and pull it at least a few miles (at least far enough to get the tires heated up and the brakes sufficiently tested) once a month.  That exercises the jacks & running gear and some of the protectorates in the tires will have the opportunity to heat up and provide the protection they are supposed to.  Also, when you re-park, the tires will be parked on a different part of the tread, thus helping to prevent flat spots.  Periodically exercising and lubricating steps is a good idea.  Motorhome engines (and tow vehicle engines) should be started and run periodically (according to owners manuals).  Basically, the goal is to use, exercise, and test all moving parts (such as awnings, compartment doors, etc.).  Also, check the roof periodically to make sure the caulk hasn't deteriorated and make sure to remove any standing water from the roof and from slide tops or slide toppers. 

I'm sure I'm leaving out many other things you can do, but I'm sure others will chime in to add.

Now, very few people ever really exercise the slides or pack up and move from their seasonal spots.  However, those that do will help prevent problems and they will identify issues that can be fixed BEFORE they are leaving and need to be somewhere.  It's good you are thinking about this.  :)