Is it "peek", "peak" or "pique"?
Solution 1:
The correct phrase I believe is "pique" my interest.
At first glance this seems incorrect since the noun form of the word "pique" means "irritation and resentment stemming from a wounded ego". However, the verb form of this word has the meaning — "stimulate or excite" and that is the meaning used in the context of the sentences in question.
Solution 2:
A lot more people write now that it's easy to do. Doesn't mean they know how to write. Many times it should have been "piqued my interest" although "peaked my interest" is often used, meaning that the subject has reached a critical mass to be worthy of being at the peak of the person's interest list. "Peeked my interest" is most likely a spelling mistake. I know a few people born here, some even have a university degree, yet they're still unable to choose the correct form for there vs their vs they're.