I'm with Aviva but through a broker, I haven't made any claims recently but had two in short space of time about three years ago (one no fault, other party insurance paid it, the other was my fault, no-one else involved). Absolutely no problems with either of them directly, though the broker largely dealt with it.
The one that wasn't my fault was held up a little by their insurance (Royal Sun Alliance I think) not issuing authorisation for repairs to the bodyshop for days though which was a bloody pain.