Both shows feature a fun, cyberpunk setting with an almost completely cybernetic, female MC. Both protagonist are also strong characters in their respective anime.
Battle Angel Alita is far mroe action focused than GITS, which likes to use its action more sparingly. The latter has stronger storytelling and delves into philosophy a fair bit.
If you are a fan of the cyberpunk genre then both are worth your time, just keep in mind that both try to achieve something different.