Transfer data from old iMac with Monterey OS to a new 2025 Mac Mini

Migrate only the data files and install fresh versions of the apps. Some apps might not be supported in the new macOS and you might have to search for an alternative. Make a list of your missing critical apps and check if they are still supported.

Part 1 of 2

One Size does Not fit All 

If the new computer is going to be the Apple Silicon  Computer - would suggest Only Migrating the User Account and nothing more.

Above is much like the good advise from @ Matti Haveri

Some have had success and usually they are well seasoned veterans who are well versed in trouble shooting 

Others have been left with a mess when Migrating everything.

 Issues that may have existed on the older computer will be migrated to the New Computer.

This would badly pollute the new Original and Pristine installation of the new OS.

Applications, extensions and Software Drivers may or may not even work on the new computer.

IMHO - it would be best to only install new application etc Directly from the Developer or the Apple Apps Store.

Due Diligence on New Applications and make sure they are Sequoia / Sonoma / Ventura / Monterey / Big Sur compatible and factor in the ARMs CPU of the Apple Silicon Computer  

Part 2 of 2

There are three categories / types of software that can run on the Operations System running Apple Silicon

Only Intel Binary Code. This software will invoke Rosetta 2 to translate the Intel binaries so the operating system can understand and execute the Application. The Applications must be 64 Bit to function on Big Sur, Monterey and Ventura / Sonoma / Sequoia

Universal Binary Software.  It contains Both Intel and M1/ M2 / M3 / M4  ARMs binary code and refer to (  Universal 2 ) When the user installs a 64 bit Application that contains Both Intel and M1 / M2/ M3  ARMs binaries - depending on factors, the Operating System may or may not invoke Rosetta 2.

“ Apple Silicon “ Checking in System Information >> Applications  >> as of now, only see One Application classified as Apple Silicon and that is “ Rosetta 2 Updater “.