Arsenal have won: 13 League Titles 10 FA Cups 2 League Cups 12 FA Community Shields :)
Arsenal have won a total of 47 major trophies.
Chelsea has won more cups than arsenal
3 Premier League titles and 4 FA Cups.
They have won 10 in total
I know that arsenal have won 18 cups all together
Arsenal have won the Barclay's premier league 3 times
Arsenal won 3 chelsea won 4
Arsenal have won 39 major honours in their history: 13 league titles (10 Division 1 trophies, and 3 Premier League trophies) 10 FA Cups 2 League Cups (or Carling Cups) 1 European Cup Winners Cup 1 European Fairs Cup 12 Community Shields (or Charity Shields) Arsenal have also won several friendly honours (e.g. the Emirates Cup)