I would strongly recommend Manda and the Marbles, who were a mix of power pop and new wave. Several of their songs were used in a recent indie film called "Nail Polish," which takes place in the 80s, and those song fit in so well with that era that you would think they were recorded back then. Their two best LPs are "More Seduction" and "Angels with Dirty Faces." Unfortunately, the band is now defunct.
Another recommendation is the Takeover UK, who put out one full length LP, "Running with the Wasters," before calling it quits. They are a great mix of power pop and brit pop, with a touch of punk thrown in for good measure.