I love my POD X3 for recording. With its amp, cab, mic, and stompbox modelling, you've got everything you need in one device. It outputs 8 audio channels over USB which you can feed into your favourite recording software (Audacity, Reaper, etc.). It's very slick.
(Note: The X3 Live model has had a few problems with the USB audio dropping out but the Bean and Pro models are not affected.)