Hey there. I am not very helpful at that price range, but it looks like plenty of other people can offer valid recommendations (including the VModas, which are often recommended to people who want bass).
I listen to a lot of electronic music, which uses the bass frequencies more than some other genres. ZMF Verite Closed are absolutely beautiful for bass. ZMF Eikons also have excellent subbass in particular. I also think the amp that you use makes a difference, but headphones 1st.
Finally, for me, enjoying the discovery of different gear and the affinity I have for different kinds has been a fun part of the journey. Go to a shop where you can listen. Buy something and return if if you don't like it. The forums can help point you in a direction, but it is only a general pointer. Your ears, your money, your opinion are all that matter.
Thank you for the suggestions, chrisdrop and others.
I haven't looked too much at the ZMF products because (as noted above) they are out of my current price bracket. Most of what I've heard about them has generally been positive though. Crinacle has plots of the ZMF headphones on his graphing tool, along with several other higher-end and also some lower end cans. Just scroll down the list of headphones to select them. The ZMF Verite Closed and Eikon both have excellent extension in the bass...
https://crinacle.com/graphs/headphones/graphtool/
There are some other headphones on this tool with a bit more bass which can be used for comparison purposes, including the AudioTechnica M50x, the Sony MDR-Z1R, Drop x HDX Panda, Campfire Cascade, and AudioTechnica A990Z.
You can look at more than one headphone curve at a time by "PIN-ing" them with the headphone tools below the graph on the right hand side. And you can also move and stretch the graph in the vertical axis to better see the differences using the bullhorn shaped tool (I can't really think of a better way to describe it) along the left-hand side of the graph. Click on either either end of the "horns" on that tool to stretch the graph in the vertical axis.
The Panda, Cascade & AT A990Z are all somewhat bassier than the ZMF Verite Closed, but a bit too forward in the
upper bass for my tastes. For reference purposes, the headphone with the response that's probably closest to what I'm personally looking for in the bass is probably the AT M50X. The M50X is a little too recessed though in the lower treble, giving it a bit of a V-shape. And I prefer a somewhat less bumpy, smoother transition between the midrange and bass. It's probably also a bit too bright in the treble for a true bass fan.
The AT M50X is close to what I would consider a "neutral response" though (with the exceptions noted above). And other plots make it appear a bit more forward in the upper bass than the Crinacle graph, esp. in the left channel...
https://www.rtings.com/headphones/1-4/graph#295/4011
(I haven't figured out how to select the left channel on the Crinacle plots.)
I have never really liked the SQ or fit of the M50X though, for other reasons. It is not a badly made headphone. But just made of rather inexpensive materials, which don't produce the best sound quality or fit imho. And it's sound signature is not as smooth in some spots as I'd like. (The clamping force is also rather high on the M50X, which makes it more painful on my ears.)
I don't mind a little more elevation in the bass as well, relative to the treble. I will look around to see if I can find a headphone with the response (and also smoothness) that's a little closer to what I want. I'm not sure such a headphone exists though, yet. Either on the higher, or the lower-end. Because I keep looking... And looking... And looking... And never really finding it.
At least not in an over-ear design... There are some which are close though. Or at least in the ballpark.
I also tend to listen at lower volumes as well. So a little bit of Fletcher-Munson U-ness is not necessarily a bad thing in my book. I can add more of that with an EQ though, if needed.
Also perhaps worth a look on the Crinacle graph is the Closed version of the Audeze LCD-2C. It has a bit more energy in the treble though. And a rather nasty lookin spike right in the middle of the sibilant range at 6 kHz on this graph, which could be a little piercing. I'd have to look at some other plots to confirm that though, as it looks like some spikiness in that region may be fairly normal on Crinacle's plots. Stopping my pointless rambling now.