In this context, the word 'break,' is usually accompanied by another word such as an adjective, a superlative etc (as in your first sentence).
We would commonly use "of," as the preposition in that sentence - the biggest break of my life was ...
In your second sentence, I think we'd be more likely to say "it was a real break when it came to improving my English."
Your sentences show that you understand the meaning of 'break,' in this context.