I know at the start of "For Your Eyes Only" James Bond (Roger Moore) is at his wifes grave.Bond got married in the movie (On Her Majesty Secret Service) & his wife is killed in that movie.Apart from acknowleding that his wife is dead i wouldn't say the movies are sequals.
The Friday the 13th series has 10 movies.But after the first Friday the 13th movie there were 8 sequals in the series.The Tenth movie "Jason X" has nothing to do with Friday the 13th pt9 so it's not classed as a sequal.
I don't think James Bond films are classed as sequels, as the character James bond never ages, just like the books. Hence each film would be classed as a new mission for Bond.