A two episode OVA was released in 1993, incorporating elements from the first two volumes of the manga with changes to the characters and storyline. According to Kishiro, only two episodes were originally planned. At the time, he was too busy with the manga “to review the plan coolly”, nor was he serious about an anime adaptation. It remains the only anime adaptation of Battle Angel Alita to date and there are no plans to revive it.
From Wikipedia: https://goo.gl/6A2466
Part 2 is here:
Gunnm – Battle Angel Alita – Motorball CGI 3D VFX Short:
MAG.MOE - The MAG, The MOE.