Fixed installation order:
1. https://www.nexusmods.com/kotor/mods/1282
2. https://deadlystream.com/files/file/1258-kotor-1-community-patch/
3. https://www.nexusmods.com/kotor/mods/1282 -> community patch compatibility 
4. https://community.pcgamingwiki.com/files/file/2043-universal-widescreen-patcher-by-wogg/ -> patch the resolution you want
5. Start the game and select the patched resolution of 4.
6. https://deadlystream.com/files/file/1159-kotor-high-resolution-menus/ -> choose the files for the patched resolution of 4.

No installation order:
https://deadlystream.com/files/file/349-character-start-up-change/
https://deadlystream.com/files/file/861-high-quality-blasters/
https://deadlystream.com/files/file/260-k1-hi-res-beam-effects/
https://deadlystream.com/files/file/938-high-quality-cockpit-skyboxes/
https://deadlystream.com/files/file/1248-weapon-base-stats-re-balance-k1/
https://deadlystream.com/files/file/1179-diversified-wounded-republic-soldiers-on-taris/
https://deadlystream.com/files/file/894-remove-force-alignment-restriction/
https://www.nexusmods.com/kotor/mods/41
https://deadlystream.com/files/file/1759-kotor-companion-tweaks/
https://www.nexusmods.com/kotor/mods/1306
https://deadlystream.com/files/file/1547-hd-pc-portraits/
https://deadlystream.com/files/file/1213-hd-npc-portraits/
https://deadlystream.com/files/file/1199-diversified-jedi-captives-on-the-star-forge/ -> didn't dig deeper, but another mod already includes some of the files this mod wants to install. If the installer shows warnings delete those files and install again.