There appear to be two different recognized dates for National Crush Day, each with distinct meanings:

1. National Crush Day as a romantic or affection-related observance is celebrated on November 5. This day is about expressing feelings for one's crush or special someone.

2. National Crush Day related to recycling, specifically Crush a Can Day, is celebrated on September 27. This day focuses on promoting recycling and environmental consciousness by crushing cans for recycling.

So, depending on the context—romantic crush or recycling awareness—National Crush Day falls on either November 5 or September 27.