If this is for home use, where you have a laptop/desktop handy, a USB-connected mixer is a good option, just route your mixer output through the mixer and the speakers from the mixer. You can then run software (like Cubase) to record any of the channels or master (1 stereo channel at a time, but you get to pick which, including master). From there you can do post-production in the DAW if you need to and bounce to WAV or any other format.
My absolute personal favorite for this is the Yamaha AG-series. It offers a lot of extra features, like options to hook up for keyboard/guitar (always nice if you have a gig with a sing-a-song writer), extra mics (with various FX, compressor and 4-band parametric EQ and filters), hookup for a mini-jack backup source (like iPhone or something).
Mine sits on my desktop as my computers sound card. Just love it. Connections for regular headphone (for monitoring instead of through speakers) and for headset (nice for gaming).
No need for an extra power outlet as it’s USB powered.
Price-wise is also makes sense. The Reloop Tape, here in Holland, costs 99 euro while the AG03 costs 102. The first is great for taking with you on the road at gigs, just plug into the record out of a club mixer and you are good to go. The second offers so much extra imho that it makes way more sense to buy the mixer.
Just my 2 cents as usual.