Is there an opening where both knights get behind c4 and f4 pawns? I like to get my knight behind c4 and I don't mind exchanging that pawn, I just don't like it to get stuck behind my knight, therefore I often play the English opening.

Is there an established opening where both knights get behind c4 and f4 pawns? Even if that means exchanging those pawns with the d or e pawns? I mean, is there an opening where it goes like:

c4 Nc6, "or something", f4 and then later on Nf3 followed by Nc3

if so, then how well does that opening score?
There is the Four-Pawn-Attack against the King's Indian. 
I'm not sure how well it scores, but it has fallen out of fashion for some reason.

rnbqkbnr/pppppppp/8/8/8/8/PPPPPPPP/RNBQKBNR w KQkq - 0 1
1.d4 Nf6 2.c4 g6 3.Nc3 Bg7 4.e4 d6 5.f4 O-O 6.Nf3


In general it is hard to reach this setup because black usually stakes a claim in the center as well. 

Conceivably you would also get this setup in a Stonewall-Attack, if your opponent doesn't play c5, or maybe in a kind of Meran, where you suddenly throw in f4 instead of Nf3. But this is rather un-theoretical and presumably too slow to be good.

And of course after 1.c4 c5 you could go 2.f4. 
This has been played by a handful of players and there seems to be no immediate refutation.