I think it depends how far along you are with your theory; if your new to the major scale/modes etc I would suggest running through those whenever you have a spare ten mins or so; if your further along perhaps you might try playing intervallic arpeggios or something similar, these can really help tune your ear for chords/build your fretboard knowledge and help you develop new ways of fingering things.
An example of this might be (Amin Triad [A - C - E {Root, Third, Fifth respectively}]):
Note Order
1 - 5 | 3 - 1 | 5 - 3 | 1
A - E | C - A | E - C | A
Here is what this looks like over the first inversion
$6.5 $5.7 $6.8 $4.7 $5.7 $4.10 $4.7
And over three inversions (slide up to the high A to finish)
$6.5 $5.7 $6.8 $4.7 $5.7 $4.10 $4.7 $3.9 $4.10 $2.10 $3.10 $2.13 $2.10 $1.12 $2.13 $1.17
Try this using other chords; for instance use a major triad; the fingering is slightly different, post here if you'd like me to tab out similar things.
EDIT- This excellent online tab maker is what I used to create the tab
EDIT- To use the new JTab plug as detailed here