Chelsea started their Women's Super League title defence with a 2-1 win at home to Tottenham.
England's Lauren James scored the champions' second.
A record crowd of over 54 thousand saw Arsenal suffer a surprise 1-nil defeat to Liverpool at the Emirates.
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Manchester City won 1-nil at West Ham, with Lauren Hemp getting the opener.
Manchester United came from behind to edge Aston Villa 2-1, scoring in stoppage-time.
Elsewhere, newly-promoted Bristol City lost 4-2 at home to Leicester and Brighton got past Everton 2-1.
