Yes - it seems pet cats can be taken in the Cabin (Saudia)
Same on many airlines in the EU and USA - On Condor and Transavia my pals take their little Chihuahua's on board in a little carry basket (cute)
There are a few you still can on flights leaving the UK, but not possible coming back into the UK.
Condor 757
My two - waiting to board at NQY