"Invisible" Strength Effect
 

I've made a few powers using Strength Effect as the base, like a throwing blade that gives Ranged and Improved Crit to Strength Damage, essentially like a rank 0 Strength-based damage. However, the power name never shows up in the Specials tab, and I don't see it in the pulldown for ImpCrit. It still shows up in the Powers list, of course, and will still display alternate effects of Str Eff.

Yeah, I've noticed that too. As it's basically just adding onto your Strength it is supposed to add all that to your Unarmed, but it doesn't show anything ye put on it on your 'Unarmed' section of the Specials tab either.

For Improved Critical, wouldn't you just apply the Improved Critical advantage to your Unarmed Strike?

Whatever you do, it should probably be appearing on the Special tab. I'll put that on our list of things to fix in a future release.

Thanks for the report!