I spent some time in the shop today listening to a few different headphones, comparing them to the Elears. The Amirons are very interesting headphones, but IMO not in the same league as the Elears. They are, however, pretty fun. I don't know that I would describe them as warm, especially when next to the Elears. I also got to briefly listen to the MDR-Z1R, but I found them to have somewhat of a U curve that didn't suit my ears.
Interestingly, I was disappointed in the performance of the EL-8. After owning the Sines for a short while now, I was hoping to possibly send in my Elears and get a pair of EL-8s, to get that coveted planar midrange. However, the EL-8s (open back) had a very annoying standing wave effect that took place inside the ear cups. It gave the sound a congested and shouty character at times. I used to own the LCD-2.2, now own the Sines, and have heard the LCD 3s and X's. I can safely say that the EL-8s are the most disappointing headphone I've heard from Audeze to date.
I was very close to picking up a pair of Beyer T1s (2nd gen), but they are unfortunately not all-rounders for me. They can sound fantastic with some recordings, but too harsh with others.
At this point, I can't find anything in the ~$1000 range that beats the Elear.