Cosmos, maybe? But that’s a noun whereas vast and diverse are adjectives.

Heterogeneous? Plethoric? (from AHD: Plethoric: Excessive in quantity; superabundant: “this successful industry of England, with its plethoric wealth” (Thomas Carlyle). )

I tried the One-Look reverse definition for 'vast, varied' and got this list:

1. pandemic
2. panthalassa
3. panorama
4. panty girdle
5. panleukopenia
6. pandanus
7. pantagruel

Number 4. is quite baffling! I suppose some may be described as vast; it's all relative.