Didcot Parkway: well it's the only station in Didcot, it's pretty central and it doesn't, as far as I've noticed, have a huge car park (never had to park there so might be wrong). Might as well just be called Didcot.
On the car park point - it has several "official" car parks, one of which is close to being huge, and, moreover, there are numerous private carparks very close-by, which presumably are for the benefit of commuters using the station (and which seem to be well-used). And potentially it serves a wide area - from (at least) Wallingford in the east to (at least) Wantage in the west, and also Abingdon (which is sometimes claimed to be the largest separate town in southern of England without a railway station) is nearby too - sure, Radley station is nearer to Abingdon, but it only has slow local trains, while Oxford may not be much further - but road access within Oxford is less than great.
Google satellite view should illustrate the point about the car parks
https://www.google.co.uk/maps/@51.611946,-1.2458204,725m/data=!3m1!1e3?hl=en - the huge one is the one to the north-west of the station, accessed via Foxhall Road (and accessed on foot by a bridge from platform 1), there are two smaller "official car parks" next to the station buildings, while private ones are the two to the south of Station Road.
So, while being close to the town centre makes it an exception to the usual rule, the parking aspect is presumably what led to the station being renamed as Didcot Parkway when it was rebuilt in the mid-1980s... The sense that the station serves not just (or even particularly) Didcot, but rather anywhere within driving range of Didcot probably justifies the name, I'd say.