umm,.. hmm based on your bass requirements and sound profile request, I’d probably recommend some Sony mdrZ7 (you said you’d consider second hand)
their low bass rumble is ‘the real deal’, their soundstaging is great (movies and games, yes!)
hybrid open/closed,.. best of both, and leaks sound, but has bass emphasis.
i mucked around with planars (sundaras and a couple of audezes) and just decided I needed a dynamic (went with ultrasone edition 5)
the sonys are not as resolving as the ultrasones (different tiers of kit, unfair compare)
but; they meet all your reqs, as far as the first post went (although i am tired and should be in bed), I’d say these would make your list..
my child doesn’t cherish much beyond the meze99s they use, but loved the mdrz7
they really are exceptional gaming/movie cans, with a low bass rumble I am unfamiliar with in any other headphone (with open back sound profile)