Between you, you are getting close. It is to do with the FA Cup and Premier League opposition, but there is something specific that relates these as opposed to other ties such as Man Utd against Crawley
Did they all lose to, losing finalists? If so it was the H&W one putting me off, I was thinking Liverpool instead of Millwall Edit, nope, wrong again i give up..
1st one: York City Stoke City v York City 2009/10 2nd one: Kettering Town Kettering Town v Fulham 2008/09
All switched their 3rd round or fourth round home ties in the FA Cup to play at the Premiership sides grounds..................... Hmm. deleted.............
In each case whether the ties were switched or not, the matches against non league opposition generated the respective Premiership teams lowest crowds of the season...................
Each match was interrupted by a streaker..............or some uninvited creature running on the pitch...........
I have got it at last............................ They all had Managers that bonked young ladies of the various series of Big Brother and all took out Super Injunctions to protect their privacy and indentities being revealed to the red tops. Am I close?
Singing. Time to reveal the answer. They were the last non-League sides to SCORE against Premier League opposition in the FA Cup.