I wanted to update on this. I uninstalled my latest version. I checked Adobe's site and there is a new version. I installed that and went to ESPN again and it still says I do not have the flash player needed to view video. When I clicked the link that appears to see the latest version it is the one I just installed. Again this is very weird. I did a scan on my computer as well to see if I got something but I do not. I have Java script turned on in Safari preferences but I have the java in the plug in section unchecked. I have been using tis set up for awhile with no issues. I noticed these issues just yesterday.
System Preferences > Security
Select App store & identified developers
Safari > Preferences > Security
Web Content: > "Enable Plug-ins".
Internet Plug-ins > "Allow all other plug-ins
System Preferences > Other /Flash Player> Advanced > Delete All
System Preferences > Other > Flash Player > Advanced > Updates > "Check Now"
Follow the propts. Restart the computer. Relaunch Safari.
Turn off Extensions if any, and launch Safari.
Safari > Preferences > Extensions
Open System Preferences > Flash Player then select the Advanced tab.
Click Delete All under Browsing Data and Settings
Back to Safari. Press Command + Option + E to empty the Safari cache.
Quit and relaunch Safari, try a video.
If that doesn't help, you may have the YouTube HTML5 beta enabled.
Opt out here > YouTube