If you are going based on chess.com's naming convention - DON'T! A lot of it is outright wrong.
They try to name every move of every opening something unique. Many do not have names as the opening variation is not determined yet.
For example:
1.d4 d5 2.Nf3 has no name yet and they try to name it.
1.e4 c5 2.Nf3 e6 they try to name the "French Variation", there is no such thing!
The list is endless.
Here is all you need to know.
Vienna Gambit - 1.e4 e5 2.Nc3 Nc6 3.f4
Frankenstein-Dracula Variation - 1.e4 e5 2.Nc3 Nf6 3.Bc4 Nxe4 (best here is 4.Qh5)
Vienna Game - 1.e4 e5 2.Nc3 Nf6 and now 3.g3, 3.f4, or 3.Bc4 Nc6 (3...Nxe4 is the F-D above)
So I found numerous variations of the Vienna Game, and I'm sure there are more of them. Here are what I found:
0. Default
1. Falkbeer Variation: