Looking for an 80's VHS effect!
Every decent video editor has built-in filters (like Color Correction, Film Effects, TV simulator, Color Curves, etc.) that can be used to achieve the desired 'look'. There are plug-ins and tools that contain many ready-to-use presets, such as:


Magic Bullet Looks
Film Looks SVP
Adobe SpeedGrade
DaVinci Resolve
etc.