OP posted this 2.5 years ago, but that was when COVID had only a handful of variants, so this is not really a necro-thread for now.
I think that I have been to enough meets and CanJams to make 2 lists: one with the wider-soundstage-sound-signature and one with the more-intimate-sound-signature that still some kind of variant for under $1k as of this posting, unless noted and most likely needs a more powerful or higher quality amp:
wider-soundstage-sound-signature
1.) Hifiman HE-6 (SE Adorama Edition current)
2.) Beyerdynamic T1 (2nd gen 600 ohms most recent)
3.) Audeze LCD-2 (Classic currently)
4.) MD x Hifiman Edition XX (XS currently)
5.) Stax SR-L500 mki (mkii currently; SRM-252 electrostatic amp used is $250)
6.) Koss ESP-950 (E90 energizer amp comes with it)
7.) Sennheiser HD700 (NLA; HD660S and HD660 S2 have the same driver)
8.) Sennheiser HD425 (NLA; many other variants that are also NLA)
9.) Hifiman HE-4 (NLA; Drop x Hifiman HE-X4 is a successor)
10.) Monoprice M1060 (still available, but M1070 is the successor)
more-intimate-sound-signature
1.) Beyerdynamic T5p
2.) Focal Clear OG
3.) Hifiman HE-500 (NLA; Hifiman HE-560 V4 Adorama Edition is a successor)
4.) Sennheiser HD600
5.) Sennheiser HD650
6.) Drop x Sennheiser HD6xx
7.) Sennheiser HD250 Linear I (NLA; many other variants that are also NLA)
8.) Campfire Audio Cascade
9.) Audio Technica ATH-W1000x (NLA; ATH-W1000z as successor, but also NLA)
10.) Denon D5000 (NLA; D5200 currently)
Hope this helps.
Edit: Forgot that I had the CA Cascades on a week-long loan!