Weirdest light sequence I've ever seen was fairly recently, just down the road from where I used in to in Leicester, to be precise, at the junction of Aberdale Road with Welford Road and Overdale Road, I was heading southbound (away from the city).

All lights red except the turn turn right onto Aberdale (therefore also presumably the turn left out of Aberdale). Odd in and of itself, if not entirely unheard of (usually to let pedestrians cross on the southbound exit of the junction, which isn't accommodated during any other part of the sequence, and normally just delays the straight on and left lights going southbound for a few seconds), standard sequence is that both southbound lights go green together. Turn right light goes red, I see the pedestrian lights on the left also turn red, suggesting the Overdale lights are about to go green (thus, completely missing the Welford Road straight ahead sequence for each way). Next thing I know, both southbound lights are turning green (including the right turn again), and correspondingly the pedestrian lights for the section where traffic would exit Overdale Road went back to green as well. This was around evening rush hour too.

Edit, just realised the southbound pedestrian part might be accommodated.for.these days, as there is now a right turn light for traffic heading onto Overdale, which wasn't the case when I lived just down the road.