NBC.com has links to watch full episodes, but ...

…I can get only about 36 minutes of e.g.SVU. I even shut down and restarted my computer at about 35 minutes and the streaming still fails. It pauses and goes to the beginning of a different episode.
CBS.Com offers similar streaming features and works just fine.

Any ideas, suggestions, discouragement.

Try a different web browser. I had a similar issue with watching Gracepoint on Fox, so switched to Internet Explorer and it worked fine.