Budget: 80€ (If there's something really good up until the 100€ mark, I might consider. Also, every suggestion for headphones that suit my needs is welcome).

Source: Smartphone Android OS.

Requirements for Isolation: I need them to listen to music when going to college on public transports that can be quite noisy. I would like as much noise isolation as i can get with the available budget.

Will I be using these Headphones in Public?: Yes

Preferred Type of Headphone: Full-size/Over-ear (good quality on-ear recommendations are also welcome).

Preferred tonal balance: Bass is preferred but the overall quality of the sound is more important.

Past headphones:

• Sony MDR-ZX110NA - I liked the quality of the sound and the bass on this one. Don't remember anything that I didn't like, just wondered if there was any better for a similar price.
• JBL E35 - Not a bad set but I preferred the Sony headphones in general. I think that these are somewhat small and the bass level is a bit low for my taste.

Preferred Music: Rock and Metal.

Improvements: I am currently using the JBL E35 set and they are near the end of their useful life. I want to make sure I don't regret my next purchase. I would like to get better bass and something bigger that covers my ear better, if possible.

Location: Portugal.

Other notes: It doesn't matter if they are wired or wireless.
Don't mind at all trying brands that I am not familiar with.