In that price range, there are vastly more capable receivers available than just a simple airband receiver.
You might want to consider the ICOM IC-R5 which covers 0.150 MHz to 1310 - a huge range of frequencies, including both civil 118-137 and military 225-400 frequency bands. It also includes 8.33kHz channelling for the civil VHF band.
Do remember that there are restrictions on the use of wide band receivers, although the subject is a bit vague. A u/t PPL pilot brushing up on R/T would probably be absolutely fine, but scanning the police frequencies obviously wouldn't!
I've seen the IC-R5 advertised at £189.99 in a well-known UK pilot shop's brochure, but you may find it cheaper elsewhere.
If all you wany is a straight Airband receiver without either 8.33 kHz channelling or military frequencies, there's the Maycom AR-108 at £79.99 from the same place.
Easiest way to find a place selling such radios is to type ICOM IC-R5 into the Google search bar.... Or eBay - there's currently a very good one being auctioned by an ICOM dealer.