After the ship blows and Guybrush has his hair chewed on by a seagull, the game crashes. Any ideas?

Try the possible solutions from: http://www.gog.com/en/forum/tales_of_monkey_island/appcrash_upon_entering_the_jungle

"Try to run the game without the internet connected.
Once there was a problem with TT games on computers with a specific computer configuration - they crashed on a active interned connection.
This may sound strange but disabling the connection helped."