Well, I'm both an audiophile for longer than a broadcaster, and a radio broadcaster for over 26 years.
The "classic" DJ headphones are Koss Pro-4AA (pronounced pro four double a). They seal well, and play loud. They don't sound bad, are inexpensive, and are built like a tank. The downside is that they weigh a ton and are very uncomfortable. The pads are not great.
Something a bit newer are the Koss Pro-4AAA (pronounced pro four triple a). They are about the same, but the ear pads are MUCH better. Isolation is better that the AA.
On the newer side, and MUCH more comfortable are the Sony MDR V6. They sound MUCH better, are MUCH lighter, and are MUCH more comfortable. They don't isolate nearly as well as even the AA. They are also not as durable, but if they belong to you, they will hold up. DJ phones provided BY the company don't last long.
The idea here isn't hi-fi, it is lack of feedback when live, being able to hear when queing, and reliability.
and ummm... avoid the sony mdr-v700dj... they break too easily and are cheaply made.
