Which method will work best depends on the footage and how extreme of an effect is desired and it sometimes takes a combination of all of them to get the desired effect:
1. Max out the motion blur settings in the comp settings (keep in mind that a layer has to move in order for motion blur to have any effect) and sometimes render, re-import and add additional blurs.
2. Use a duplicate layer of the footage on top of the main layer and use a directional blur, some other smear effect or a combination of several.
3. Use a “motion trails” plugin like the one in the BCC set
Depending on the details of the footage and desired effect (whether the trails/blur should be on just the subject moving through the frame or the entire frame), more advanced techniques rotoscoping and keying may be necessary in combination with the methods above.