The issues around offside and handball are easy to solve.
Offside - you're either offside or you're not. If you're not prepared to accept a linesperson missing one now and then and want VAR to be implemented then you have no grounds for complaint on offsides, IMO. They used to say this on Match of the Day all the time. "He's off," "He's a yard off," "Ooohhh, hmm... just about off, just about Gary," "It's tight but if you're off then you're off." Marginal calls are still marginal, with or without VAR. If you're not prepared to accept a human can or will call it a particular way then the only solution is to get the rulers out and make certain.
Handball is there to stop people picking it up, essentially. If you deliberately handball it then it's a free kick to the opposition. If someone smashes it at you and it hits your hand then it isn't handball(unless your arms are up above your head, it's up to the referee to decide). I really can't fathom why people make such a meal out of this. I saw it on Monday evening, an Everton player smashed it and it hit Zaha's hand or wrist - the referee blew for a free kick. Zaha was standing about a yard away from the Everton player. Quite how Zaha was supposed to do anything about it is anybody's guess.
VAR has not made anything better. In fact we probably have more 'controversy' on decisions and incidents than we did before. This is the result of TV companies interfering and buying off more and more of the game until they got us to here, where they are now able to be actively involved outcomes of matches. When you put as much money into something as some of those TV companies do then of course they want something in return. They will always want more and more.
People did say this would happen but brushed off, or told they were afraid of change, stuck in the past, misty-eyed romantics, luddites, frightened to modernise, old-fashioned squares from the past. Whatever.
The interesting thing in my opinion is that you can barely find a pundit or journalist who will admit they were in favour of VAR now. You couldn't move for them about two years ago. They've just moved on to complaining about how it's being used now instead. It is laughable really.