Basingstoke services were proposed by Granada in 1995 following the completion of the M3, which created a continuous road between Basingstoke and Southampton (and on to Portsmouth) with no services. The design would have been very similar to that of Stafford (North), with a hexagonal amenity building and adjoining lodge.
There would have been parking for 539 cars, 42 HGVs, 12 coaches and 10 caravans. The site would have been in the north-western corner of the junction, with the entrance being on the A30 spur road and exit leading back to the main roundabout.
The services were refused because of concerns about the additional traffic (this is currently one of the quietest junctions on the M3 so there are no plans to upgrade it) and because the Winchester services were put forward at the same time and the council preferred that, even though it wouldn't serve the A303.
Plans are available from Basingstoke and Deane Borough Council.