This is actually a fan card I've occasionally contemplated:
Probably-Not-Sufficiently-Different-from-Village Village
$4: Action-Reaction
+1 card
+1 action
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During your Action phase, if you have 0 actions remaining, you may reveal this from your hand and play it.
The only practical difference from regular Village is, you still get the extra action if you draw it off your Smithy, but you don't if you draw the Smithy off of it.
There are other uses as well. Any time your terminal action does things with the top of your deck you might want to play the terminal before this "Hidden Village", like with Chancellor, Bureaucrat, Navigator, Duchess, Treasure Map, Develop.
Another feature is that you give less information to the opponents when they have a choice. With Hidden Village + Envoy in your hand you start with the Envoy and opponents will have to guess if action cards will be dead for you.
Another reason to play your terminal action before HV is if your terminal action gains a card which puts itself or other cards at the top of your deck, like Nomad Camp or Mandarin, or any card if you show Watchtower.
Even if the gained card doesn't go on top of your deck it can be worthwhile to play the gainer first if your deck is empty so you'll reshuffle before you play Hidden Village, so once in a while that could be worthwhile with almost any gainer -- Workshop, Feast, Remodel, Thief, Smuggler, Mint, Expand, Forge, etc. etc.
There are lots of other small effects. Play Counting House before HV to gain Coppers before reshuffling. Play Menagerie before HV so as to now risk getting a double. Play
I'd say that in almost all kingdoms Hidden Village will be better than plain Village, and in some very much better (like with Embassy, Margrave, Torturer).