"Non-surgical facelift" is a bad term--it should be called "Non-surgical facial rejuvenation." There are a number of different approaches:
1. Energy transfer. In this case, energy of some type (radiofrequency, infrared, etc) is used to 'heat' the deeper facial tissues and ostensibly cause tightening of the face. The first and most 'famous' was the Thermage system but several others exist. Most reputable studies have shown that these systems (at least in their initial incarnations--newer systems come out all the time) are mildly effective in about 30% of people. That means, minimal to no effect in about 2/3. It probably has it's place in some cases, but is not by any means a 'nonsurgical facelift'.
2. Volume replacement. In this case, fillers or fat are used to restore and reshape facial volume to give a more youthful look. This, too, is not a replacement for facelift, as it does not do the same things. However, as our knowledge of aging continues to evolve, we know that some volume replacement is a good thing.
3. Resurfacing procedures. These have been around for a while, and consist of the various types of 'peels'. With newer fractionated lasers and other technologies, downtime and side effects (bleaching, etc) are decreased. Again, though, this treats the face superficially and does not tighten deeper tissues that have 'sagged' nor does it restore volume.
These major categories of procedures can be used in combination to good effect in the right patient. The results are simply not the same, as they correct different issues. An experienced surgeon can help determine if any of these are right for you. Not everyone is ready or appropriate for a facelift, and the same goes for these.
I hope this helps.