I transited Stansted on my way back up North from Shoreham without a problem, a couple weeks ago. We had to hold for a few minutes, south of the airfield and then we were cleared direct over the 04 threshold, while an aircraft was inbound on the ILS. Stansted seemed very welcoming as well! Id like to stress that R/T is very important.
We initially contacted Essex Radar and asked for a zone transit. They came back with G-** continue direct towards the airfield to hold initially. After few mins of holding they passed us onto TWR and then they cleared us right over Runway 04. We then went back onto radar and then QSY on route. The transit seemed effortless and Stansted were very very helpful, as this cut our flight time down dramatically.