My only bike computers are the XOSS G+, but it'll work with any bike I have. The tricky bit is resetting the XOSS for each bike. Takes about a minute, including spinning the cranks and rear wheel to sync with the XOSS.
XOSS still hasn't gotten around to enabling the menu to identify and select among different bikes, but that's not a big deal for me. My bikes are all 700c wheels, and there isn't enough difference between my 700x23 and x25 tires to matter.
XOSS defaults to ANT+ sensor when available, so it seems like there should be a way to sync with more than one device. All of my sensors -- speed, cadence, heart rate -- are either ANT+ only or dual Bluetooth/ANT+. So I can record some data to my phone (Bluetooth) only via Wahoo Fitness, Strava, whatever, while simultaneously using the XOSS G+. Probably the same with any bike computer that's compatible with both ANT+ and Bluetooth.