First, some background info: star notes are printed in different quantities than regular notes. A run of 3.2 million star notes is considered a full run, and aren't particularly rare. For modern star notes, 640,000 or fewer notes in a run is typically the starting point for considering it rare.

Regular (non-star) notes are printed in far greater quantities than star notes. It is common for 96 million notes to be printed in a single month - that's an entire block (for example: A 00 000 001 B - A 96 000 000 B).

There have been a few non-star note printings that are a lot smaller than normal:

$2 - Series 2013

A 00 000 001 A - A 06 400 000 A
C 00 000 001 A - C 12 800 000 A
D 00 000 001 A - D 06 400 000 A
G 00 000 001 A - G 12 800 000 A
H 00 000 001 A - H 06 400 000 A
I 00 000 001 A - I 06 400 000 A
J 00 000 001 A - J 06 400 000 A

What makes these non-star notes potentially rare and valuable? They are the first and only runs in their respective FRB districts, and they are only 6.4 to 12.8 million notes each. If no more $2 bills are printed for series 2013, these six districts will have a significantly lower quantity released than most FRB's/block combos.

This is entirely speculative at this point, though. If the BEP prints more notes for the $2 2013 AA, CA, DA, etc. FRB/Block combinations, they will become as common as a normal circulation note. Long story short, if you find a uncirculated examples of any of these notes, it wouldn't hurt to hold on to it until we see if more will be printed.

As of August 2019 no more 2013 $2 notes will be printed.