It seems most major distro's support Secure Boot these days. Arch is a noteable exception.
wiki.debian.org
fedoraproject.org
en.opensuse.org
Interesting the non-vendor points of view. I see Mint has a community forum, but interestingly enough, no real formal documentation.
rockylinux.org
docs.oracle.com
www.redhat.com
almalinux.org
It also appears that MX Linux does not support secure boot.
However Parrot Linux does.
A quick search gives mixed results with PuppyLinux, but it seems it does not. Again, no real documentation on it, mostly forum discussions.
forum.puppylinux.com
Kali Linux also does not like secure boot.
www.kali.org
The official installation image does not support Secure Boot (FS#53864). Secure Boot support was initially added in archlinux-2013.07.01-dual.iso and later removed in archlinux-2016.06.01-dual.iso. At that time prebootloader was replaced with efitools, even though the latter uses unsigned EFI binaries. There has been no support for Secure Boot in the official installation medium ever since.
SecureBoot - Debian Wiki
Secureboot - Fedora Project Wiki
openSUSE:UEFI - openSUSE Wiki

Interesting the non-vendor points of view. I see Mint has a community forum, but interestingly enough, no real formal documentation.
Secure Boot Key Refresh - 2024 - Rocky Linux
Rocky Linux is an open enterprise Operating System designed to be 100% bug-for-bug compatible with Enterprise Linux.

Working With UEFI Secure Boot

How to use Secure Boot to validate startup software
There are many aspects to reducing a Linux server's security risks. Protecting the integrity and confidentiality of data is certainly important, and it's als...
Secure boot with AlmaLinux
The new AlmaLinux releases are coming shortly (expect our beta releases for 9.4 and 8.10 over the next couple of weeks!), and we’d like to talk about one of the vital components of each system - its security. It’s important to keep your system secure and one of the easiest ways that is rarely...

It also appears that MX Linux does not support secure boot.
However Parrot Linux does.

Does Parrot OS Support Secure Boot? - DIY Security Tips
It’s important to note that not all Linux distributions and hardware support Secure boot, and in some cases, the user may have to disable Secure boot in order to run Linux. Yes, there is a secure boot option in Parrot OS. Secure boot is a feature of the Unified Extensible Firmware Interface...
diysecuritytips.com
A quick search gives mixed results with PuppyLinux, but it seems it does not. Again, no real documentation on it, mostly forum discussions.
"Secure Boot" for Puppy Linux - Puppy Linux Discussion Forum

Kali Linux also does not like secure boot.
Installing Kali Linux | Kali Linux Documentation
Installing Kali Linux (single boot) on your computer is an easy process. This guide will cover the basic install (which can be done on bare metal or guest VM), with the option of encrypting the partition. At times, you may have sensitive data you would prefer to encrypt using Full Disk...
In the UEFI settings, ensure that Secure Boot is disabled. The Kali Linux kernel is not signed and will not be recognized by Secure Boot.
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