I just remembered a dandy little 3-d animation program for the PC crowd that is very easy to work with but gives a great finished look.
It’s a little old now but still works great.
https://www.crystalgraphics.com/web/3dimpactpro.main.asp
Last time I looked this was around fifty bucks.
This is basically a cut-down version of the original crystal TOPAS software, with the keyframing replaced by canned moves, and a six inch phone directory-sized instruction manual reduced to a 2-page pamplet.
However, if you turn on all the rendering controls and etc in the render preferences, you get a beautiful, broadcast quality SD output, great for a logo animation.
You can make the logo itself 3-d as well: this program will accept a vector based file, or it can create a 3-d extruded model from simple black and white art. If you have a photo, you can easily texture map it onto a shape, like sticking decals on a plastic toy model. A pallette of canned textures lets you make it look like glass, stone, metal, etc. and you can add lights of various types and colors, with or without lens flares, animate the lights independently from the model, or “group” all or parts of the models and apply moves universally to them.
You could think of it as a much more primitive version of what you get in Zaxworks.
My kids used to like using the simple geometrics and free hand drawing tools to draw up huge, elaborate 3-d spaceships with this when they came to visit me at work. You can build up complex things like city blocks full of skyscrapers, just by sticking some simple shapes together using the “group” tool. I also was able to create convincing plastic pill bottles, with caps, labels, and pills, and simulate a tabletop close-up snorkel cam jib move past these pill bottles, using this program. It was easy: the bottles, lids, pills are all just really circles, extruded, multiplied, and given textures, properties, and edges from the premade pallettes. The label was made in photoshop and applied to the model like a decal.
Output is AVI files and stills in a few formats like jpeg and targa.
When I used this a lot, you could download a full version and work with it for free, you get a watermark on the render output until you register and pay for the software, but its free to try and lots of fun, I recommend it. If you get it and get stuck, find me here and I’ll try to talk you thru your problem.