DISCLAIMER: This is pretty much a soft re-con.
Early Walt Disney Home Video releases were through MCA Discovision, an early Laserdisc brand, thanks to the friendship of Walt, Sr. and Lew Wasserman.
The first logo was the infamous Neon Mickey, originally created to celebrate Mickey's 50th birthday. However, this logo was immediately hated by Walt Disney, Sr., who saw the logo as a desecration of the character. "What the fuck is this shit?," Walt, Sr. supposedly asked when he saw this logo for the first time. Because Walt, Sr. hated it so bad, it was quickly retired and replaced with a placeholder.
When Disney entered the VHS and Beta market in 1980, the Neon Mickey was replaced with what is basically a prototype of the original Disney Channel logo; a silhouette of Mickey Mouse's head against a TV-screen shaped background. On screen, this logo was shown on a black background with the Walt Disney Home Video name underneath.
The jingle for this logo is the same one used IOTL by MGM/CBS Home Video from 1978 thru '81.
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From 1982 thru '85, Walt Disney Home Video cobbled together a logo lifted from the intro of the anthology series which was still running on SBC during that time period. IOTL, this was only used outside of North America.
In 1985, Disney introduced the "Sorcerer Mickey" logo, a year earlier than IOTL. In 1999, Disney took over the home media distribution of the Carmen Sandiego franchise following the collapse of Broderbund. That same year, Disney became the home video partner for Sesame Workshop, the WGBH Educational Foundation, NFL Films and Britt Allcroft. A year later, the "Home Video" text was changed to "Home Entertainment."
This spring, the 2-disc DVD releases of Yasuke and National Treasure begin with a prototype for what could be a new logo. Basically, it is the same as the Walt Disney Pictures logo you see below, except with "Home Entertainment" in the same Lubalin Graph Book font.