We replaced much of the Velcro 2 years ago.  I believe it was "heavy duty", from Wal-Mart.

By Fall it was coming off again.  Several pieces have fallen off this summer as well.

I'm sure we cleaned off the old adhesive properly.  In fact, at one point I realized the paint was softening.

I've toyed with the idea of using "Super Glue" in a few spots, but haven't gotten around to trying it yet.