What is more is that Villa, despite only Liverpool, United and Arsenal in England having won more trophies, most of their trophies were won in the late 19th century. Since the European Cup win, they have not won much (I think just two league cups), and have not won the FA Cup in almost 60 years.
I would say though that in England, United, Liverpool, Arsenal, maybe Tottenham are the only clubs larger than them. Chelsea is relatively high in the trophies list, granted, but Newcastle and Sunderland only have fanbases, not tradition.