Ubuntu's main releases use deb package (deb are also used by Debian). All deb based releases are year.month in format, eg. Ubuntu 20.04 LTS Desktop.
Ubuntu Core is not a deb based system thus uses a different format, namely year only, eg. Ubuntu Core 20. These releases can use snap packages only, no LTS gets mentioned normally as all releases have 10 years of support.
Minimal can mean two things, there is a minimal install option where the full install occurs (ie. installed image is written to the disk) then if you selected a minimal install, packages listed on a list are removed (creating the minimal install option).
There is also a netboot or mini ISO that is a network loader; it boots the system and asks what type of install & downloads all packages from the web & installs. See https://wiki.ubuntu.com/Minimal You may have meant that, but a minimal-install option is generally more common and what you mean.
The Ubuntu base is the same base found on all systems (be they desktop, server, core etc). See https://wiki.ubuntu.com/Base for more details.
There for sure are many other things to consider
- resources; what apps you'll use will dictate the most efficient system
- intended use
- support life versus latest software?
- how much maintenance are you willing to do, when etc..
etc, each with pros & cons.
The best for you depends completely on your intended use, applications etc.. which is a very opinion geared question not encouraged here (better for forums, Ubuntu forums can be found at https://ubuntuforums.org/.
Update on Minimal installs.
Some 25.04 ISOs included two squashfs images on the ISO, meaning the minimal install option installed the minimal squashfs instead of installing the full squashfs and then removing packages to create the minimal image. Other 25.04 ISOs however still installed everything, then removed packages as outlined above to create minimal install.