Now I'm beginning to doubt my answer.
Man City - Etihad, opened in 2003.
Man Utd - Old Trafford. Nope.
Leicester - King Power, opened in 2002.
Chelsea - Stamford Bridge. Nope
West Ham - London Stadium, opened in 2016 (Although it was built for the 2012 Olympics).
Everton - Goodison Park. Nope.
Tottenham - Tottenham Stadium, opened in 2019 (This could be the tricky one, because it was raised on the site of White Hart Lane, with Spurs using Wembley until it was ready).
Liverpool - Anfield. Nope.
Aston Villa - Villa Park. Nope.
Arsenal - Emirates Stadium, opened in 2006.
Leeds - Elland Road. Nope.
Wolves - Molyneux. Nope.
Crystal Palace - Selhurst Park. Nope.
Southampton - St. Mary's Stadium, opened in 2001.
Burnley - Turf Moor. Nope.
Newcastle - St. James' Park. Nope
Brighton - Amex Stadium, built in 2011.
Fulham - Craven Cottage. Nope.
West Brom - The Hawthorns. Nope.
Sheff Utd - Bramall Lane. Nope.