I micro like a bastige and sometime leave my game running. There are many ways to get AIs to Friendly. Make sure you are aware of all methods. Be careful of religion. Try to pick mainly good AIs (some with good fave civics) with at least 1 or 2 whipping boys that everyone hates...like DeGaulle. Try some fake wars. Gift all your happy resources after Globe...that will get you +2 with everyone. Give away techs which can get you up to +2.