Attached Link: http://graphics.stanford.edu/~mmp/chapters/pbrt_chapter7.pdf

Usually, I had the experience that the slight blur of a 2 pixel gauss never was an issue in animations - video codecs and the motion itself hide a lot. As for the sinc filter, it's a more 'crisp' filter that still does provide fairly good AA. Box filtering - I never use it. A box filter is probably the worst possible approach to AA. Unfortunately, many applications still use it - in general, if it doesn't have an option in the app, it's very likely that it's a box filter. If you want the complete details on why filtering is necessary and how there is no perfect solution, see the attached link.