Emotion is the film/video releasing arm of anime company Bandai Visual.
1st Logo (1983-1997)
Logo: First, the words "BANDAI PRESENTS" ("BANDAI" is in its corporate font) are shown, then the text transitions to a black screen with four parallel red and blue lines. Then two of the lines start to glow and shift, and then there are two parallel lines. Two "sparkles" move into the lines and disappear into the distance and flash, creating a blue outline of the Emotion logo, which is two metallic Moai together behind a sun with "EMOTION" in bronze below it. The logo zooms forward as some light rays shine from it and "attract" a colored version of the logo (with gold text, gray Moai, and a red and yellow sun), and the text shines. Finally, the Emotion logo is created and the lines start to fade away. The logo glows blue and shines.
Variant: An extremely rare version with just the logo shining exists.
Technique: Early CGI graphics.
Music/Sounds: A gradually rising new wave theme, with a bassline similar to Frankie Goes to Hollywood's "Relax". The short variant has no jingle whatsoever.
Availability: Common. Seen on anime home video releases of the era, such as Patlabor: The Movie (most recent print released by Honneamise/Bandai Visual, not the Manga Entertainment version), Ghost in the Shell (1995) (Japanese version only; the North American release plasters this with the Manga Entertainment logo), Grave of the Fireflies, and most of the Gundam movies. The short variant is extremely rare, and can be spotted on Agent Aika (U.S. Manga Corps DVD release) and other titles as well.
Legacy: This is a favorite among anime fans in general.
2nd Logo (1997-2002)
Logo: It begins the same way the previous logo did, except rather different: the text says "BANDAI VISUAL PRESENTS". The text transitions to the two Emotion moai carved out of stone in a cloudy field of moving grass with some rocks and mountains. The circling clouds above suddenly turn into a flock of birds. Then, it changes to a sunrise/sunset and the moai suddenly glow from the sun, creating the Emotion logo, the moai looking a bit more defined this time. Finally, the field fades out and a large star causes the words "EMOTION" to unfold letter by letter. Then the logo glows.
Variant: A filmed variant exists and can be seen on WXII: Patlabor The Movie 3 (2002). A still variant of the ending shot of this filmed version can also be seen on Cowboy Bebop: The Movie (2001).
Technique: 2D animation with some CGI, which was done by Production I.G.
Music/Sounds: An orchestral choir fanfare that suits the logo well. Sometimes it's silent, as seen on WXII: Patlabor The Movie 3 and Cowboy Bebop: The Movie.
Availability: Common on anime releases. Metropolis (2001), Escaflowne, Tokyo Godfathers, Cowboy Bebop: The Movie, Jin-Roh: The Wolf Brigade, and a few other films have it, whether it be on home video, or on the actual movie itself, and they are all easy to come by. This also appears on the English-dubbed VHS and DVD versions of CardCaptors: The Movie.
3rd Logo (2002-2012)
Logo: We see the text "BANDAI VISUAL PRESENTS" like before, but then a bright flash occurs and we zoom forth several stars and other heavenly bodies swirling around. Then, parts of the galaxies form a blurry image of the Moai, which clears up as the sun fades in and "EMOTION" unfolds letter-by-letter below it. The Emotion logo has been updated a bit, the text looking flatter and bronze-colored, the sun being solid yellow, and the moai looking like they were made out of stone. The logo shines.
Music/Sounds: An orchestral tune with a string cadence (possibly from an erhu).
Availability: Uncommon. Seen on FREEDOM Project and Gunbuster vs. Diebuster, among others.
4th Logo (2012-)
Logo: A modern update to the first logo, but with a bit more action. As with the second and third logos, this one begins with "BANDAI VISUAL PRESENTS" on a black screen. A white line goes through the middle of the background, and very brief flashes of the blue and red vector pattern in the first logo can be seen. This white line becomes one of several that form a bright star. The camera pans over to the left, and the star collides with another star. As this happens, the parallel blue and red lines, as seen in the first logo, are visibly moving in the background. After the stars' collision, two CGI Moai statues and bronze "EMOTION" (now a bit spaced than the previous logos) move up into the center of the screen. The sun goes up behind the newly formed logo, a blue glow also forms around it, and the parallel lines in the background fade out.
Variant: A more common later variant that begins without "BANDAI VISUAL PRESENTS" text exists. This could be seen on Ghost in the Shell: Arise.
Technique: Similar to the first logo, but updated for the modern era.
Music/Sounds: A re-done version of the first logo's music, done in a more modern electronic style, with a choir faintly singing "EMOTION!" twice as well.
Availability: Current. Seen on some recent Japanese releases from the company, including Ghost in the Shell: Arise.