I would look for opportunities to hit two major attractions that are close to each other while the crowd is still building. For example, RNR and TOT at HS. Do RNR first since it is a shorter attraction. Slinky followed by TSM would also work if you can get close to the front of the Slinky line.
At MK, Jungle Cruise followed by Pirates, or Buzz & Space Mountain are combos we've successfully paired up at rope drop in the past. We've never done it, but Peter Pan followed by Haunted Mansion would be a natural pair as well.
At AK and Epcot, the attractions are too spread out t o effectively pair things like that. In the FP+ world, we liked to hit Dinoland at AK before the crowds built and used FP+ elsewhere, That probably would not be the best strategy now. I would probably hit Everest and then head to the Safari. FOP would have to wait until right before park close. Na'Vi could be skipped if the lines are too long during the day,
But, the critical thing is to take advantage of early entry and be there even earlier than you think you need to be. Being 'on time' for park opening doesn't work at Disney