ATC accents

Have anyone of you had a problem with the accents of various ATC chaps
around the world? The German guy in our office always has a problem
picking up words I (an Indian) pronounce, and I can't fault him for
that, because most Europeans can't figure Indians' pronounciation.

But I guess this problem is with a few Spaniards and Italians too, the
way they speak English, with accentuated guttural sounds and all that.

Is this a trivial problem, considering the standard phraseology in use
in ATC communications, or can it lead to something worse?

Ramapriya