Xperia Z3 Compact Headphone compatibility topic

I already had older Xperias , and I had problems with the compatibility of headphones ... when the headphone that came with it stopped working , no other headphone I bought worked right . I saw that the Xperia Z3 Compact , at least where I live, comes with a simple phone , and the other from Sony are well expensive for me , as for example one with noise reduction. Would anyone tell me if I have this problem with the Xperia Z3 Compact ? Any headphone that works with him and that is accessible and good do you recommend ? PS : I live in Brazil . Thanks.