You still haven't mentioned if open-back or iems are on the table.
Your title says commute, and you're OP says "on the go/commute" which can mean a variety of things outside of commuting. If strenuous physical activity were included, I'd only recommend headphones with decent clamping pressure.
Unfortunately, there aren't many headphones that work brilliantly with even mobile amps that can "do it all" very well. The ATH-M40x is an option. The Fidelio X2's extend well in both bass and treble, but mids and vocals are slightly recessed, and the cans themselves are a bit heavier than I prefer for mobile use, which might be fine if you're on a train or a bus, not so fine if you're walking a lot. The HE400s does great vocals and decent bass, but it can sound kind of muddy depending on the amp design. Grados would be great if you're not too physically active, and primarily listen to high-energy music, like rock/punk. (the clamping pressure on Grado's, and the swivel design, both make it hard to keep on the headphones during any kind of activity)
If IEMs are on the table, Dunu Titans have decent sound stage and are just on the warm side of neutral, and Hifiman RE600s v2 are just plain warm, but manage to work well with most music types.
