Movies that had the budget skyrocket for the sequel

This is common for nearly all sequels:

Star Wars (1977) - $11 million
The Empire Strikes Back (1980) - $33 million

Toy Story - $30 million
Toy Story 2 - $90 million
Toy Story 3 - $200 million

Mad Max (1979) - $350,000–400,000 in Australian dollars
Mad Max 2 - $4.5 million in Australian dollars

Shrek - $60 million
Shrek 2 - $150 million

Pirates of the Caribbean: The Curse of the Black Pearl - $140 million
Pirates of the Caribbean: Dead Man's Chest - $225 million
Pirates of the Caribbean: At World's End - $300 million