In 2015, Arsenal have beaten Manchester United (twice), Chelsea, Manchester City and Bayern Munich, keeping clean sheets in all of those games. How's that for a stat!
You beat Chelsea in the semi-competitive community shield before losing 2-0 against then in a fully competitive EPL game. But good stat nonetheless
Then again while beating big teams is exciting, it's the points against the smaller teams that count. Look at Chelsea in the 13/14 season. We had a fantastic record against the big teams. We bear both Liverpool (front runners for EPL that year) and City twice home and away but still ended up trophyless. In 14/15 season, we weren't as good against big teams but more consistent against the smaller teams won 2 trophies