Here is the list of the main Ghibli Movies and works that any fan should have in order to complete this collection:

1. Kaze no tani no Nausicaa (Nausicaa of the Valley of the wind) 1984
2. Tenku no Shiro Laputa (Laputa The Castle in the Sky) 1986
3. Tonari no Tororo (My Neighbor Totoro) 1988
4. Majo no Takkyubin (Kiki`s Delivery Service) 1989
5. Omohide Poro Poro (Only Yesterday) 1991
6. Kurenai no Buta (Porco Rosso) 1992
7. Umi ga Kikoeru (Ocean Waves) 1993
8. Heisei Tanuki Gassen Pompoko (TheRaccon war) 1994
9. Mimi wo sumaseba (Whispers of the Heart) 1995
10. Mononoke Hime (Princess Mononoke) 1997
11. Hokekyo Tonari no Yamada-kun (My Neighbours the Yamadas) 1999
12. Sen to Chihiro no Kamikakushi (Spirited Away) 2001
13. Neko no Ongaeshi (The Cat Returns) 2002
14. Howl no Ugokushiro (Howl`s Moving Castle) 2004
15. Gedo Senki (Tales from Earthsea) 2006

If you want the works of Hayao Miyazaki before Studio Ghibli you need:

• Lupin III: The Series 1971
• Panda Kopanda 1972-1973
• Alps no Shojo Heidi (Heidi: Girl of the Alps) 1974
• Mirai shonen Conan (Future Noy Conan) 1978
• Lupin III: The Castle of Cagliostro 1979

Here is a list of documentaries and other DVD from Studio Ghibli:

• Sekai Waga Kokoro no Tabi
• Kirikou no Mahyo
• Otsuka Yasuo no Ugokasu Yorokobi
• Miyazaki Hayao Produce no Ichimai no CD wa Koushite Umareta
• Yanagawa Horiwari Monogatari
• Thank you, Lasseter-san
• Ningen wa nani wo tabete kita ka Complete Edition
• Hayao Miyazaki to Ghibli Bijutsukan