BA have confirmed that Rolls Royce is to supply the engines for the recently ordered small(er than expected) bunch of 777s after a “close fought competition with GE”.

However, the interesting part of the BA release is:
“we will place a major order for new longhaul aircraft and both Roll-Royce and GE, along with the Engine Alliance, will be competing to provide the engines for those aircraft.”

Does Engine Alliance power anything other than A380s?

At this present moment, the only airplane that Engine Alliance supply is the Airbus A380.

I would not read to much into it, BA could just be very thorough in there press release, and may not want to give anything away about future fleet aquisitions, as it may be picked up by a sharp eyed journo or enthusiast 😎