For reading pleasure alone, then I agree the comedies are great and the histories not so, but I would recommend watching any or all of them. There is a dynamic in watching a performance that can never be repeated by reading the words. Listening to an actor speed up or slow down their delivery; watching one actor speak over another's lines (because in real life we don't wait for the other person to speak, particularly in an argument); watching how gestures amplify the language of the text - that's something special. I saw Simon Russell Beale some years ago as Richard III. In one scene his council sat at a long table while he paced up and down behind them. If you remember the Al Capone scene near the start of The Untouchables where he beats someone to death with a baseball bat, the atmosphere and the tension was exactly the same. You could see each character tense as the footsteps pausd or stopped behind their chair.
The BBC did a pretty good series of most if not all the plays a few years ago and they are probably available from your local library. Give them a whirl, but if you can a live performance is best.
My favourite rendiition of the history plays is the RSC's The Wars of the Roses (many years back, 1960's I think) with Ian Holm as Richard III and David Warner as Henry VI. It was a condensed version of Henry VI, (1, 2 &3 ) and Richard III.
Hamlet and King Lear sound like good follow ups to Othello and Macbeth