GITS stand alone complex was produced much later, but you will probably still enjoy it.

Bubblegum Crisis

AD Police

Project A-ko is a comedy movie that sort of falls in there. Not as much cyber punk. Neo Tokyo is just an aside.

Roujin Z - movie. They have hospice in the future, right?

How FAR in the future? Have you watched Trigun? It’s a cyber western. It’s a tragedy disguised as a comedy. Gore is low, and there are less deaths than episodes, but there is plenty of action.

Elfen lied was released in 04, but it still has the 90s animation style. It is overtly violent and disturbing. The setting is pre-cyber revolution, where the government appears to quietly control everything. The tech is in there, but not heavily featured.

Sorry if my list isn’t 100% what you were looking for, but I think you might enjoy some of these if you haven’t had the chance.