pajaste: This is about my thought process...
1.d4 ... Ah, ok, invitation to play the QGD, QGA, Tarrasch, or some move orderly
1...Nf6 ... Indian game, be it Nimzo, QID, KID, Old Indian
2.Bf4 ... Or London System, allowing some specific QGD, Slav, Semi-Slav,
2...c5 ... this is some high level transposition to QID or KID middle game
3.d5 ... Of course Benoni is a possible result, be it Checzh, Regular or Old Benoni
3...d6 ... OK, Benoni or some transposition to an awkward but playable KID.
4.Nc3 ... 'You bastard! I'll call your Greek Gift and raise with an
4...a6 ... See what you can do with that horsie after this one!'
Thus proposing the name Greek Gift Opening for 1.d4-systems with an early Nc3.