I've sat through my share of really bad black and white movies. I've also seen some really great black and whites that I can recommend. Here are a few of my favorites (not in any particular order.) I've had good luck checking these out at my library.
The Bachelor and the Bobbysoxer is a funny movie about a teenager who has a crush on a man who has a crush on her older sister. Cary Grant plays a rich bachelor and does plenty of slap-stick stunts to keep us entertained. Shirley Temple plays the teenage sister. Myrna Loy plays the older sister, who's also a lawyer.