Bob, I have 3 mdoelers, and I love them all, for different reasons.
Modeler #1 is a KORG PXR-4. Aside from the portability, it sports many good clean and distortion models, with all the effects being customisable. It also sports a very accurate tuner, condenser mic that doesn't suck, and 4 tracks of digital recording; the perfect sketchpad for a songwriter.
Modeler #2 is a ROLAND VG-88. Hands down, the best amp modeler in the world; when I use it with my Roland Ready Strat, it also opens up totally authentic models of steel guitars, actoustics, mandolins, synths, etc etc.
NOTE: The real downside to my synth rig (RRS, VG-88, GR-30, FC-200) is the Roland Ready Strat; The RRS tracks very well, but the guitar istelf plays rather poorly. Not sure if I want put a new neck on the guitar, or just get a proper guitar with a piezo/13-pin output ...
Modeler #3 is a JOHNSON MILLENIUM 2x12 combo amp. Some great models in this amp, but if I want to use an amp, I can just use valves. It's really an afterthought as far as my gear is concerned.