Jake Livermore was on target as West Brom saw off Hull City, while there were wins for Preston North End and Leeds United.
Leeds United picked up a first win in three at home to QPR, sending them above Swansea City to the Championship summit.
Hal Robson-Kanu looked like he had extended 10-man West Brom's lead in the Championship but Charlton stole a point.
The Championship's top two, West Brom and Leeds United, were held on Tuesday, while Sheffield Wednesday moved up to third.
Sheffield Wednesday missed out on a first win at Cardiff City since April 2007 after Lee Tomlin curled home an 87th-minute equaliser.
Wellington Phoenix have signed former Norwich City, Celtic and Sheffield Wednesday striker Gary Hooper as their marquee player in 2019-20.
Leeds United beat previous Championship pacesetters West Brom 1-0 at Elland Road to move top of the table.
Derby County beat Birmingham City 3-2 in the Championship - days after a team night out ended with police charges and an injured captain.
Garry Monk edged Danny Cowley in a clash of new managers at the John Smith's Stadium, while Leeds United went top of the Championship.
With the Owls sitting 11th in the Championship table, Sheffield Wednesday have announced the appointment of Garry Monk.