I had all these headphones at the same time and they all served a different purpose.
I liked the ES7 a lot and it had a fun punchy and aggressive sound, with bass. A great portable phone that worked well for all genres, especially hip-hop and pop. Combined with a nice portable amp, it starts sounding really nice. However, for me, they were not the most comfortable even with stretching the head band a bit.
The HD580, is not a portable can and does not sound like a portable can. It's sound excels above the rest dramatically but needs a nice powerful amp and a decent source. It's not the fastest can, but extension, depth, and sound stage is unbeaten by the other cans mentioned here. There is the so called "veil" and is apparent, but it seems to disappear when the volume is pumped up. However, I fear listening this way for a prolonged period of time will make me deaf. This is still one of my most favorite fairly comfortable cans.
The IM716 is currently my daily commuter phones and it serves its purpose well. It's not the most amazing thing I've heard, but it's not bad either. It's pretty transparent in its sound production and I can actually hear my music while on the bus or train. IEM's aren't for everybody and some people don't like sticking things in their ears. But for those who don't mind, these are worth it.
The Grado SR80's were my first headphones getting into Head-Fi and really showed me there was more to headphones. At the beginning, the bowls were hard and a bit uncomfortable, but over time, they got better, and so did the sound. These cans really excelled in rock and metal and kicks all the other headphones mentioned in these genres. Some might want a little more bass, in which a portable amp can bring out.