Here are a few patches/mods that might prove useful:

Guybrush Hair Patch
https://www.facebook.com/monkeyislandhairpatch/

Monkey Island Ultimate Talkies
http://gratissaugen.de/ultimatetalkies/

There is a hair patch? Christ that is sad!

Looks like the hair is gonna be similar to what's in the image on the website. I might check it out.

Better a hair patch than a bald patch. :-P

The backgrounds fix patch is one of the most must use patches, in my opinion:

http://www.telltalegames.com/community/discussion/15836/somi-se-backgrounds-fix-patch-and-other-mods

This fan patch fixes things that were overlooked when the LucasArts team painted over the backgrounds, including the original pixels still appearing in the backgrounds, and most noticeably the board at the dock not being animated correctly.

There's also some fan patches in that thread for minor changes that the team made, such as a fan patch that adds the smile back to the SCUMM Bar sign and one that adds the Pillsbury Doughboy back to the SCUMM Bar kitchen.

So how do I even apply this? I have to unpack the .pak file?

Edit: nevermind figured it out

Lemme just provide updated link to the Hair Patch to MI1SE
https://www.facebook.com/monkeyislandhairpatch

All links are outdated.

Just download the hair patch from the links provided on PCGamingWiki:

www.pcgamingwiki.com/wiki/The_Secret_of_Monkey_Island:_Special_Edition#Hair_Patch

Clickable shortened link to the URL above:

https://t1p.de/oiig

Here's an updated link to the background fixes:

https://community.telltale.com/discussion/15836/somi-se-backgrounds-fix-patch-and-other-mods

Unfortunately, the maker of those fixes never completed his work, so the latest version (of Sept. 2009) is still marked as "unfinished". The last update was a fixed Scumm Bar sign (Apr. 2010).