Wrexham are still searching for their first points back in the second tier after losing 3-2 to West Brom.
Republic of Ireland international Mikey Johnston provided two late assists to help win the game for the Baggies.
Stoke are the early leaders of the Championship after beating Sheffield Wednesday 3-nil.
Middlesbrough got past Millwall by the same score as they also made it two wins from two.
Sheffield United are bottom of the table after losing a second consecutive game, going down 1-nil at Swansea.
Coventry manager Frank Lampard was a 5-3 winner against his former club Derby.
Birmingham also claimed their first three points as they triumphed 2-1 away to Blackburn.
Leicester were beaten 2-1 at Preston, QPR suffered defeat by the same score at Watford, while Portsmouth also lost 2-1 to Norwich.
Bristol City against Charlton finished goalless.
