If you are looking for a sound that most closely resembles Axioms tonal signature IMO they would be pretty much all Grado's and to a lesser extent some of the Shure headphones.

I love the warm and non-fatiguing character a lot of the Senn headphones have. Their high impedance models sound terrific with tube amps.
I’m armed and I’m drinking. You don’t want to listen to advice from me, amigo.

-Max Payne