I took some guitar lessons from Andee Blacksugar for a good long while, and had some fun. One thing he taught me was this 2 — 1 — 2 — 1 — 2 pattern for 7th-chord arpeggios: root and 3rd on ⑤, 5th on ④, 7th and octave on ③, 3rd on ②, and 5th and 7th on ①. I find it easier to play than other arpeggio patterns I’ve learned.
For fun, I decided to write out one of the warm-up exercises I wrote that uses this pattern. It just goes up the scale and back down again in scale degrees, but there are some amusing twists: the metric phasing, and the legato makes the picking seem weird (but it strictly follows the “down on the beat, up on the up-beat” pattern — it only seems weird).
I notated the fretting-hand fingerings I use; your mileage my vary. On the major 7th shape, for example, you can barre or roll your 2nd finger on ③ and ② instead of my perhaps-idiosyncratic fingering.