Lots of good ideas here in the answers in this thread...
Do break out of the mold of playing out of the chord formation--yes I know there are lots of exciting leads that work out of chord, but you should also practice as Willie-O said: SCALES!
And... mix up the notes on the scale, once you are familiar with the basic do-re-mi etc. Scales are not boring because they contain the notes for at least a million songs!
Work them forwards, backwards, skip every second note, change the rhythm, include a strummed chord with one of the notes once in a while, or maybe once every bar. Or play a bit of a melody if the scale suggests one.
Be creative. Creative is where you are going with this, isn't it?