What is a continued sequel movie and non continued sequel movie called?

What is a Non-continued sequel movie vs Continued sequel called?

1.) What i mean by non-continued sequel is that the theme, name of the movie is quite the same, some additional characters may be added, some original character may be deleted. But IMPORTANTLY the lead characters (atleast 2) are different and surely different cast and storyline will not be continual to the original story (one reason is (2 lead) characters are changed).

Example: Movie like (1.) Speed (1994) (2.) Speed 2: Cruise Control (1997)

2.) What i mean by continued sequel is that the theme, name of the movie is the same, some additional characters may be added, some original character may be deleted. But IMPORTANTLY the lead characters (atleast 2) are same and same cast and storyline will be continual or may be different but continual to the original.

Example: Movie like (1.) Spider-Man (2002) (2.) Spider-Man 2 (2004) (3.) Spider-Man 3 (2007)