Meet my Fractal AX8!
This thing has become the essential for most of the live gigs I do nowadays.
I love the simplicity and convenience it offers. Modeling has come a long way! I still record with amps for the most part but this comes in handy finding a tone that I don't get from my amps.
The amp models I use frequently are: Super Reverb, Twin Reverb, Lonestar, Shiva, and Matchless DC30 for cleans, Superlead Plexi, Dirty Shirley, and Buttery for distortions. I use a lot of other models too for specific sounds but those tend to be the ones I reach for a lot.
For overdrive pedal models, I really like Lovepedal Eternity model and the BB preamp.