You can find English football logos as PNG and 2500×2500 px. on this page
Arsenal FC 
Aston Villa FC 
Brighton & Hove Albion FC 
Burnley FC 
Chelsea FC 
Crystal Palace FC 
Everton FC 
Fulham FC 
Leeds United FC 
Leicester City FC 
Liverpool FC 
Manchester City FC 
Manchester United FC 
Newcastle United FC 
Sheffield United FC 
Southampton FC 
Tottenham Hotspur FC 
West Bromwich Albion FC 
West Ham United FC 
Wolverhampton Wanderers FC