First, make sure you learn the A Major Scale on each individual string.
Next, learn each of the G CAGED fingering patterns.
After this, study the 3NPS (3 notes per string) patterns.
Song Format Backing Tracks
Jazz Pop "Tin Pan Alley" Changes
You can play for hours on this backing track with just the A Major Scale.
F#m "Andalusian Cadence"
This song is all about the F# aeolian mode. It does have a C#7 chord on which some notes may clash a little.
This song is all about the A Major Scale, even though the A major chord really isn't used in the progression.
Since each of the chords is derived from this scale, you can easily jam on this track with only the notes from this scale.
More scales to use: