If you've got several devices which need to access the printer (such as a desktop, a laptop, a tablet, etc) then having wireless access [rather than continually unplugging one device and plugging in another] makes sense. Indeed, some devices which are capable of connecting to printers don't even have USB ports.
These days it's becoming increasingly hard to find printers which don't offer wireless connectivity. Those that are still 'USB only' are often no cheaper anyway.
I bought a new printer last year and did a LOT of research before making my final choice, which was a Canon Pixma MG5350. While you might find that a little expensive and/or hard to find, I note that it's 'little brother', the MG4250 is currently the number one recommendation from Computer Active magazine. (Quote: "This budget multifunction printer (MFP) isn't the fastest available, but it's cheap to buy and inexpensive to run. Just as importantly, both prints and scans look great. Unless you need faster print speeds, this is the one to buy").
Computer Active's assessment of that printer was based upon a price of £70 but it's currently £20 cheaper in Argos, at just £49.99:
http://www.argos.co.uk/static/Product/partNumber/9114337.htm
(Click on '59 customer reviews' to see what people who bought it from Argos think of it).