Which Fish Will Yield Uncommon Fish Oil?

Everything I can find online (including T&L's own site) says ANY uncommon fish will dissolve for fish oil. That, however, does not seem to be the case. I spent an hour catching at least 4 different varieties of uncommon fish, and none of them can be dissolved.

Does anyone have a list of fish that will yield uncommon fish oil so that I can stop running all over the map wasting time and good bait?