This is an annoying achievement. A 60 game winning streak takes a lot of patience and focus. A single draw will ruin your streak and potentially waste many hours of gameplay.
However, semi-professional difficulty is fairly easy, even if you are not an great FIFA player. I suggest playing manager mode with a good team (I used Inter Milan) and aim to go 2 goals up early in the game. This way you are fairly safe until the end of the game.
There is also an achievement for staying unbeaten for 50 games. You will get this achievement before this one (obviously).
Edit: In the comments,
Jalalabad CBoy confirms that dashboarding before the end of a game (if you are not going to win) works, and retains your streak.
Please either comment below or send me a Personal Message if you have any comments or improvements.