How possible is a successful landing just with 1 wing?
This would be possible with other fighter jets that are of similar design to the F-15, i.e. have a low aspect ratio, much of their lift produced close to the centerline, and a lot of control authority. They would also need the other two key ingredients for a landing of this kind: a strong aviator at the controls and a bit of luck. 

Specific contributing features of the F-15 were its fuselage's lifting design, side-of-fuselage engine placement, blended wing with strakes, and large control surfaces, common to fighters. 

If you look at the planform, it wasn't missing a full 50% of its wing, but only about 20% of its lift-contributing planform area (lift distribution isn't equal across it of course), with the body, the intakes and wing root strakes continuing to provide lift. As a result, the center of lift didn't move as far away from center as it would have for a tube-with-wings design.

In principle this is a more violent version of a runaway aileron scenario, and one has to compensate for roll from the lost wing area. The F-15, being a fighter, has large control surfaces for combat maneuvering, and they proved sufficient for stopping the roll in this case. The loss of lift was not so much of an issue.

  

The red box is the lost area, the green box the remaining planform, and the dashed line its very approximate center.

It's possible that other fighter aircraft could do something similar. Commercial aircraft, however, almost universally feature high aspect ratios, and with such a wing, the center of lift will move too far away from the design centerline in a similar scenario. Partial wing loss, however, can be compensated for, and there's a lot of incidents where planes landed having lost some part of their wing.