Podcast headphones have two non-negotiable requirements: closed-back design and wired connection.
Why closed-back
Open-back headphones leak audio outward. During recording, that leaked audio gets picked up by your microphone, creating bleed/feedback. Closed-back headphones isolate completely, keeping your audio in your ears and out of the mic.
Why wired
Bluetooth adds 100-200ms latency. When monitoring your own voice while recording, even 50ms of delay is disorienting and makes it hard to speak naturally. Wired headphones have zero latency.
The Beyerdynamic DT 770 Pro (80 ohm) has become the podcast studio standard. Excellent isolation, velour pads for long recording sessions, and neutral sound that reveals problems in your audio (mouth clicks, room echo, mic distortion).
The Sony MDR-7506 has been in broadcast studios since the 1980s. Its accurate midrange is perfect for monitoring voice. Under $100.
The Sennheiser HD 280 PRO offers up to 32dB of passive noise isolation, one of the highest in any headphone. If you record in a noisy environment, this blocks the most external sound.
A dedicated headphone plus a standalone microphone always sounds better than a headset. Don't use a gaming headset for podcasting.