Dont listen to anyone about inna’s, it’s not a pet build, just spells that have the shape of pets. Same with Necro, just pet shaped spells.
The only pet build is the witch doctor with Helltooth. You can have an army of AI pets, and you cast Wall of Death every 10 seconds. while they kill things.
You can use Legacy of Dreams instead of Helltooth but it’s less damage.
There is also a necro Thorns pet build but it’s very awkward.
Crusader has an awesome pet build with Phalanx archers, but it can’t clear Tier 8 efficiently the damage is terrible.
i’m probably one of the best d3 players over the last decade so take my advice seriously.