TLDR: For linear mode operation like in electronic loads or linear power supplies, you need MOSFETs with specified DC SOA. As these are hard to find, here's a list (or ideas where to look).
DC SOA has been discussed here many times, so I'll add only a short intro.
Please search eevblog for any combination of "DC SOA MOSFET linear mode electronic load dc power supply IXYS". You can restrict google search to eevblog by entering "DC SOA site:eevblog.com". Try also searching on diyaudio.com.
Example hit from beginner section:
https://www.eevblog.com/forum/beginners/mosets-safe-operating-area-inconsistencies/Most MOSFETs these days are used for switching, so either turned fully on or off. However, if we want to build an electronic load, we want to operate
the MOSFET in resistive mode, not fully turned on. This is commonly called "linear mode", in contrast to switching mode.
Unfortunately for us, optimizing modern MOSFET famlies for switching had the invonvenient side effect of making them mostly unsuitable for linear mode operation.

Example 1: IXYS linear FET IXTK200N10L2
It specifies 4 V/150 A or 100 V 6.5 A. Note that TC is specified as 75°C - some diagrams are given for 25°C, which is useless for a constant high power application.
Of course you will need to kepp the case at 75°C at 100 V*6.5 A = 650 W, which probably also is near impossible to achive.

Example 2: Infineon IPW65R040CM8
DC SOA for TC=80°C is given as 4 V/45 A or 650 V 4.5 mA. Had you initially been impressed by the beefy TO-247 case or the 329 W max. power dissipation, the 650 W*4.5 mA = 2.9 W might disappoint.
But why this list? Primarily because none of the online selection tools (parametric searches of Mouser, Digikey etc) support filtering for DC SOA. As most modern MOSFETs are not linear mode capable (with this I mean they publish a decent DC SOA envelope, not something like 5 mA@650 V for a 100 A MOSFET) so finding appropriate ones is sheer luck.
I come across various candidates randomly and instead of noting them for me, I can put them here. Feel free to contribute.
In general, most elderly models were doing OK in terms of DC, as they had large dies that were later shrunk in order to reduce cost. Highly popular are the IRF540 series models, although I have not found a datasheet with DC SOA listed.
Also LCSC
https://www.lcsc.com/products/MOSFETs_381.html?globalKeyword=irf540&s_z=n_irf540 lists 15 different (mostly Asian) manufacturers, will they all stick to the ancient and robust 1980s design?
Try filtering DigiKey search to the HEXFET family:
https://www.digikey.ch/en/products/filter/transistors/fets-mosfets/single-fets-mosfets/278?s=N4IgjCBcoGwJxVAYygMwIYBsDOBTANCAPZQDaIALGGABxwDsIAuoQA4AuUIAyuwE4BLAHYBzEAF9CAVnoAGRCBSQMOAsTIgAzPTkUELEBy69BoiYRiyYCpSryESkctrpx9bTpB79hYyeDg6GzQse3UnEHkmfwBaACZgyH4AVzVHcilmWIpEuzSNMDhCxmj-a2gQAQATLmp6HI9jHzNCdgBPVlwuKuwUcXEgA(HEXFETs were introduced by IRF in 1978)
If you can afford them, IXYS linear mode FETs are great, particularly those with the monstrous SOT-227 package.
IXYS linear mode FETs:
https://www.littelfuse.com/products/power-semiconductors-control-ics/mosfets-si-sic/n-channel-linearExample:
https://www.littelfuse.com/products/power-semiconductors-control-ics/mosfets-si-sic/n-channel-linear/l2/ixtk200n10l2Infineon also has a linear series:
Infineon Optimos Linear FET
https://www.infineon.com/cms/en/product/power/mosfet/n-channel/optimos-and-strongirfet-latest-family-selection-guide/optimos-linear-fet-100v-150v-200v-/TBC
- Martin
EDIT: I realize that's a very short list. But hey! It's a start!