Country round Mirfield (Hopton) is lovely, have ridden round there a few times. Agree with Dude, you want to get more than 3 or 4 miles from city centre. Dewsbury is not a bad compromise of OK/price/access to riding, and has direct train to city centre, but a bit grim (sorry to any Dewsbury-ites).
Otley/Ilkely/Burley/Adel/Cookridge and pretty much everywhere in N Leeds is lovely, ace country side but v pricey. Actually, I think Ilkley is actually in Bradford. Ilkely is on the train to Leeds too.
Chapel Allerton (still N Leeds) is also nice, and used to be a bit cheaper,
Headingly and Hyde Park are student-ville.
Kirkstall is a bit grim, bit OK if pushed.
Bit further out, Horsforth is nice too.
South of Leeds - Wakefileld has nice areas (Sandal, Durkar, Crigglestone, Stanley, Methley, St Johns) and the villages between Huddersfield and Wakefileld (where I live, Denby Dale area) are popular Leeds commuter villages (but unless you;re prepared to drive to works and park, then check out buses and trains first).
Loads of guys I work with are climbers and mtbers and live in Sheffiled for Peak proximity (and fab doorstep riding) and commute to Leeds.
Huddersfiled is cheap, not bad and has direct train to Leeds. Edgerton, Marsh, Almondbury are not bad areas. M62 into Leeds from Hudds is hell on earth at rush hour though.
Places described as "Leeds/Bradford" - Rodley, Pudsey, Cookridge, Guisely are nice.
Shipley - not too bad, contains world heritage site Saltaire Village and Salts Mill, lots of trains to Leeds and easy access to Yorks Dales.