The Shooting Gallery

Background
TSG Pictures, aka "The Shooting Gallery" was production company operated by Larry Meistrich, dedicated to independent, creator-driven films and art-house releases. One of their best known releases was Sling Blade. The company filed for bankruptcy in 2001. Aside from print logos on trailers, the company didn't use a proper on-screen logo of any kind until 1997.

1st Logo (1997-1999?)
Visuals: A blurry grey image forms on a black screen, this being a woman's face in greyscale, you can make out her lips and eye as the logo goes on. An outline of a rectangle with the text "TSG" inside of it appears and a blue rectangle fades in behind it as the logo zooms back. The outline/text shines as the grey static fades away and "PICTURES" in white fades in below.

Variant: A black and white version exists on Judy Berlin

Technique: 2D computer animation.

Audio: None.

Availability: Can be seen on films such as Frogs for Snakes and Judy Berlin, among others. This seems to have been used primarily as a producer credit.

2nd Logo (September 10, 1999?-2001)
Visuals: We fade in to time-lapse footage of clouds rolling by. The image breaks into several sections and moves forward, converging in the center. We see the text "shooting gallery" slowly fade in, as other shapes pass by and leave behind a shape resembling a comic speech bubble, cut in half with a white circle in the middle, with still-moving cloud footage inside. The text shimmers as a trademark symbol fades in to the right of the text and the company's URL fades in below in blue. Everything then fades out.

Technique: Live-action footage for the clouds, along with the shapes and text.

Audio: A thunder crack, followed by a series of odd noises and ending with a quiet synth note and chimes, along with wind blowing.

Availability: Appeared on Judy Berlin, along with films released in the "Shooting Gallery" series; consisting of arthouse films and international curations. Possibly also seen on later film such as Once in the Life.