I remember that some time ago we ddiscussed bandaged Brainballs although that discussion was very short-lived.
But I haven't forgotten the topic and therefore want to (re-)present the results of my analysis:
There are 8192 ways to bandaged a Brainball.
There are 136 variants when you neglect symmetries.
52 of 136 are derivates of other variants.
26 of 136 can't move in any way.
37 of 136 have implicit bonds which means they are incomplete.
8 of 136 are definitely trivial.
13 variants are worth to be reconsidered.
One is the unbandaged Brainball.

You might want to ask: "Why does he post this in 'New puzzles'?"
The reason:
Of the remaining 12 variants I picked these six:

Did you build the 6 missing, too?

Where did you found such a great stock of brainballs?

I haven't built the missing 6 so far.

I purchased them for 1-2 EUR each during DCD 2010 (from the Lohe-brother if I remember correctly) for exactly this purpose although I wasn't sure about the specific variants.