I thought it might be a good idea for this to have it's own thread for easy reference.
Here's the clinching scenarios for Week 15 (scenarios for tie games are NOT included):
AFC
Houston
* has clinched a playoff berth
* can clinch AFC South with a win
* can clinch first round bye with win
AND NE loss
AND DEN loss
New England
* has clinched AFC East
* no other scenarios for Week 15
Denver
* has clinched AFC West
* no other scenarios for Week 15
Baltimore
* can clinch AFC North with
1. win OR
2. PIT loss
AND CIN loss
* can clinch playoff berth with
1. CIN loss OR
2. PIT loss
Indianapolis
* can clinch playoff berth with
1. win OR
2. NYJ loss
AND CIN loss
NFC
Atlanta
* has clinched NFC South
* can clinch first round bye with
1. win
AND GB loss OR
2. win
AND SF loss
* can clinch HFA with win
AND GB
AND SF loss
San Francisco
* can clinch NFC West with win
AND SEA loss
* can clinch playoff berth with
1. win OR
2. MIN
AND DAL
AND WAS
AND SEA loss
Green Bay
* can clinch NFC North with win