Barney & Friends (Season 1-3, and Custom Season 4-present, Custom Season 4-9 with the Season 3 Barney costume, and Barney and BJ's Season 3 voices, and Baby Bop's Season 2-3 voice)
Thomas the Tank Engine & Friends - (Season 1-2 and 4 narrated by Ringo Starr, Season 3-4 narrated by George Carlin (1991-1998), Season 3 and 5-6 narrated by Alec Baldwin, Season 7 narrated by Michael Angelis, Custom Season 8-11 narrated by Michael Brandon, Custom Season 12-16 narrated by Pierce Brosnan, and Season 17-present narrated by Mark Moraghan)
The Wonder Pets (I know TWP was made in 2006) (if The Wonder Pets was made in the 1990's)
Linny the Guniea Pig (1997)
Rosie & Jim
This channel debuted in Late 1990.
In 1990-Early 2000, Thomas & Friends Season 1-2 episodes use the nameboard sequences between them.
In 1990-May 2006, Thomas the Tank Engine & Friends Season 1-2 episodes use the 1984 and 1986 intros.
In 1994-August 1998, Thomas the Tank Engine & Friends Season 4 with George Carlin use the 1994 intro.
In Late November 1998-May 2006, Thomas the Tank Engine & Friends Season 4 with Ringo Starr use the 1984 intro.
Starting with June 2006, Season 1-4 of Thomas & Friends begin using the 1998 intro.
Starting in Late November 1998, in the opening credits of Thomas & Friends Season 3 episodes narrated by Alec Baldwin, the last two titles of the opening credits are taken from the 1998 intro.