Have you seen Lynch's The Straight Story? It's literally just an old man who goes to see his brother, who suffered a stroke. There are a few problems along the way, but it's small stuff, there's no big race against time or anything like that, it's literally a straight story of his trip and the people he meets and talks to along the way until he reaches his brother's home. It's also very good, in my opinion.

That sounds amazing, I'll check it out!