Oh, god, not Inuyasha. That show was cool for the first like....20 episodes, maybe.
Cowboy Bebop (movie and series)
One Piece (only the japanese version)
Actually, I like manga way better than anime....no super irritating voices.

In no specific order....

Claymore
Naruto
Bleach
Death Note
Monster

Other favs: Yu Yu Hakusho, Darker Than Black, Kenichi (really great show)

I would have to agree Princess Mononoke, and Howl's moving castle are great. As for series: DBZ(cell saga) Naruto (3 sannins battle, Naruto vs Sasuke, & all of Shippuden) Bleach (Ichigo enters soul society til he leaves) Oh and how could I forget ...... Samurai Champloo, & Cowboy Bebop

I already made one of these. There is a search feature you know. http://www.vgchartz.com/forum/thread.php?id=3630

Never liked movies much. And the list depends on whether it's personal favorites of all time or most influential of all time. I mixed it up with my picks.

1. Rurouni Kenshin - Trust & Betrayal (OVA)
2. The Twelve Kingdoms
3. Berserk
4. Trigun
5. FLCL

Notable Mentions:
Elfen Lied, Gungrave, Hunter X Hunter, Last Exile & Cowboy Bebop

1. trigun

2. hanaukyo maid tai la verite

3. cowboy bebop

4. La blue girl

5. Ghost Stories ADV dub 

Series:

1. Z Gundam
2. FMA
3. Ideon
4. V Gundam
5. Vision of Escaflowne

Movies:

1. Char's Counterattack
2. Ideon: Be Invoked
3. FMA: COS
4. Z Gundam: Love is the Pulse of the Stars
5: Escaflowne: A Girl in Gaea

i am a two year new to anime so it gotta be
naruto
bleach
deathnote
berserk
inuyasha

well in no particular order....

bleach - loved it from thestart altough when i started watching it i was a little bit skeptical. but the sol society saga was great, however at the moment the fillers are killing me

claymore - relatively new anime, but i think its really great, love the whole idea of the series, really hooked at the moment

visions of escaflowne - this anime got me into all the anime that i watch now... the charracters were really good and so was the storyline

code geass- i actually love this anime and i dnt care what any1 else says about it!

cowboy bebop - i just like the characters, and again one of the first anime series that i've ever waatched, so has sentimental value