The most consecutive losses in NCAA football in Division 1 (FBS) belongs to the Northwestern Wildcats. They lost a total of 34 games in a row between 1979 and 1982.
Michigan has the most wins in Division I-A college football. From 1907 to 1917, Washington football teams were unbeaten in 63 consecutive games, fielding 1930 points, and allowing only 118, still an NCAA Division I-A record
University of Miami,Florida. 58 consecutive wins,an NCAA Record
The University of Oklahoma
Yes, it happens frequestly