Let me clarify what I meant. First I haven't given this much thought, but that idea is that bonus actions would still "exist," you don't change any of that. However, you create a whole new set of classes that don't use them. These new classes would be balanced with 5e classes and can be played right along side of them, but they don't use bonus actions. Remember, you don't get a bonus action unless a feature says you do. The only thing you would need to change is to errata two-weapon fighting and you should be good to go ( I think, like I said I haven't given it much thought).
Finally, this is not something I am personally interested in so I am not really going to think about it any more. I am more interested in creating a 6-action economy for my next game, not limiting actions to move and standard.