Both .anim and .gif are colormapped formats and have fewer colors than the 24 bit images in your buffer.
Image FX needs you to convert the buffer to colormapped images first. It's very powerful but you need to know some stuff about formats and stuff to use it.
Open the "Color" requestor with the button on the toolbar.
There you'll see "Convert to CMAP" fifth from the bottom.
(Make sure you have your animated buffer selected first.) Click on it and you'll get some options....choose what you want and it will convert all the frames in your anim buffer to colormapped frames. Then you can save to either .anim or .gif.
BTW, you can save 24 bit animations in the native Image FX format of INGF.
Hope this helps.