The following links should spawn new browser windows.
Alias Wavefront makes
Maya . Arguably the most powerful tool for 3d work. It starts at $7k U.S., but they now have student licensing. I couldnt find it, but that was the news I read.
lightwave 3d is another powerful program that offers what you want. Their DNS entry or redirect is off. The link above will get you their.
Cinima 4d (Contests here- I dont think you have to use their products to do most of the work. You could import your stuff their.)
You get a free iBook with Universe5 license . Look at what they charge for their software. I think that they are trying to get students hooked with this offer.
Strata 3d was once free to students. A complete version, with limited precreated objects and textures. It still exists on some file servers along with the key code- Just search. Currently from their site you can order a working DEMO and they also offer academic pricing under $500 U.S..
Don't forget
Adobe . They offer
Adobe Dimensions which interfaces well with the other Adobe products like photoshop. For web 3d they also offer
Adobe Atmosphere which is still in beta, but it's not exsactly what you are looking for.
This is cute and of no use, but
PIXAR has
this little clip as to how they make movies.
Look for on auction houses for older versions of software, student licensing, and for contests where the prize is usually a license and software.