Deinterlace — for old TV / camera footage
Interlaced video draws odd lines first, then even lines, alternating per field. Looks fine on a CRT. Looks like jagged combing on a modern progressive display. The yadif filter (Yet Another DeInterlace Filter) is the standard fix.
Stabilization
FFmpeg's vidstabdetect + vidstabtransform pair does motion-tracking stabilization. Two-pass: detect first, transform second. Result is comparable to handheld footage stabilization in editors.