I'm a no-rideshare person, and also tend to prefer any other type of transportation over busses. If I can take a monorail, skyliner, boat, or walk, I'll take that option. That said, if you want a 100% avoidance of any bus, ever...there will be some difficulty depending on which resort you're staying at, and which park you are trying to get to. Most solutions I think have been mentioned - Walking access to Epcot from Swan, Dolphin, Beach, Yacht, and Boardwalk. Boat access to Epcot and DHS from those same. Skyliner and walking access to DHS from those same, as well as Caribbean Beach, Pop, and Riviera. Walking, boat and monorail access to MK from Poly, Contemporary, Grand Floridian. Boat access to MK from Wilderness Lodge. Walking access to Disney Springs from OKW and Saratoga. Boat access to Disney Springs from those same, as well as Port Orleans Riverside and French Quarter.
Now, I do have some tolerance of busses as sometimes they're just necessary - like getting to Animal Kingdom. What I will usually try to do is avoid crowded busses. For example, leaving a park at closing time, when the park bus stops are packed, I prefer to walk to a nearby resort, and hop a Disney Springs bus, then take my resort bus home from there. a big advantage to staying at Saratoga Springs is that the Disney Springs bus stop can essentially be your resort bus stop - I can take any resort bus to Disney Springs, and just walk back to Saratoga. So leaving MK after fireworks, I'll walk over to Contemporary, grab the DS bus which is MUCH less crowded than the MK-Saratoga bus, and walk back to Saratoga. Ditto Epcot - walk out the International Gateway over to Beach, hop the DS bus.
I often enter parks the same way - take a less crowded bus to Disney Springs and then bus to a resort that has walking or boat access to the theme park I'm headed to (that won't work for rope drop though, as the DS busses don't start until later). Staying at Boardwalk, I've actually walked over to DHS in the morning, and hopped a bus to Poly/Contemporary or Wilderness Lodge - which is empty headed back to the resorts in the morning - and then boated or walked over to Magic Kingdom...a much more peaceful way to arrive than the crowded morning Boardwalk bus to MK.
My solutions are often not shortcuts - they can take LONGER to get to my destination. But doing so in a more relaxed, less crowded manner is well worth it for me.