Learning Curves and interpretations

In general, the further away the green line is from the red line, the more the model is overfitting, however eventually enough data will cure all overfitting (there will be so much data the model can't possibly memorize all of it), and that's why the lines converge to being together (stops memorizing, red line goes down, starts generalising, green line goes up). Some models need more data to learn than others however, and so as you can see, the LogisticRegression model reaches it's best performance much faster than, for example, the SVC.
An interesting case is the KNN, who's red line doesn't go down, but rather up. I'm pretty sure the reason for this is to do with how the KNN works, it compares instances it knows to classify new instances. Thus, the KNN doesn't really memorize... New instances it can compare with will never hinder it's performance on the training set (red line). However it too will also eventually converge, the lines together.