I would always choose over ear. and always a headphone meant for music since gaming headphones is a gimmick and most all is lousy quality.
I have many headphones, one of the cheaper ones is my Philips SHP9500.
maybe you could take a look at
https://www.amazon.in/Philips-Indoor-SHP2000-Headphones-Black/dp/B0010LDOUG/ref=sr_1_5?s=electronics&ie=UTF8&qid=1516609782&sr=1-5&keywords=over+ear+headphone
or
https://www.amazon.in/Sennheiser-HD-180-Over-Ear-Headphones/dp/B00CMQFBG8/ref=sr_1_4?s=electronics&ie=UTF8&qid=1516609782&sr=1-4&keywords=over+ear+headphone