The logo of Discovery Family combines Gotham with Pluto Italic. Both typefaces underwent some modifications, see the omitted i dot and the ry pair in “Discovery”, and the shiny effect for “Family”.
From Wikipedia:
Discovery Family (known on-air as Discovery Family Channel and abbreviated as DFC) is an American cable television channel co-owned by The Cartoon Network, Inc. and Hasbro Entertainment, which are divisions of Warner Bros. Discovery Global Linear Networks and Hasbro respectively.
The channel was originally launched by Discovery Communications (later Discovery, Inc.) on October 7, 1996 as Discovery Kids Channel (later Discovery Kids), a spin-off of Discovery Channel featuring science- and nature-themed programming aimed towards a youth audience. In 2010, Discovery Kids was relaunched as The Hub (later Hub Network) as part of a joint venture with Hasbro led by veteran executive Margaret Loesch. The relaunch pivoted the channel towards a general entertainment format, with dayparts targeting preschool, youth, and family audiences respectively.