Well...The Fajarowicz variation of the Budapest is not so good a choice, really.
Against 1.c4 there are very aggressive systems that come out of the 1. ...e5 camp. 1.c4 e5 2. Nc3 d6 or 2. ...f5 can lead to the most aggresive position Black can achieve versus a true English. Playing 1. ...e5! makes it harder for White to transpose into more regular Q pawn lines and helps keep play independently English. 1. c4 e5 2.g3 ?! is actually a slight mistake that can be poundced on with Black equalizing early.
More aggressive, while also being more sound, versus 1.d4 is something such as The Volga (Benko) Gambit which allows you to gambit a pawn for extreme active piece play. However, at your current level of play, the Tarrasch Defense would be really very good as it mimics the open games (1.e4 e5) and really puts emphasis on active piece play. It is somewhat aggressive while not being as risky (dubious!) as the Faj. In the Faj against good play you will lose a pawn and get little to zero compensation for it. 1.d4 Nf6 2. c4 e5 3.dxe Ne4 4.a3! Nc5 (4. ...d6?!) (4. ...Bc5 ?!) (4. ...Qh4!?) 5. Qc2 and White has all the fun. Period. The Milky Way Variation with 4. ...b6 is under a very dark cloud.
Against 1.e4 you need to defend first, I believe and the only real counter attacking system for those that want to unbalance and play for a win before equalizing is likely found in Sicilian variations. Unless you want to play unsound lines such as Elephant Gambit (worthwhile, but dubious!), against 1.e4 you run risk of losing quickly if you do not counter white aggression first.
definitely agree with the benko. I also enjoy 1c4, e5 but instead of 2. nc3, d6 I prefer b-b4
Im a Swedish young junior whos rating is between 1700-1900 national ELO. Winning against 1500-1600 I have no problem with or when I play 1900-2000 I dont have big problems holding a draw. But I have big problems winning against players with 1700-1800.
It seems that you think you should win a large percentage of games against players of your own strength, and therefore play too aggressively, going for attacks when the position doesn't allow one, etc. Against higher rated players you don't feel a "I must win" pressure and just play good moves. At least, that's what it sounds like to me :-)
Try to play everyone as if they have 2000+, forget about their real ratings.
Anyway, at your level your opening choice has very little influence on the game results.