Boris Johnson's under growing pressure to bring the policy in line with the rest of the UK, after campaigning by footballer Marcus Rashford.
Scotland, Wales and Northern Ireland are offering the scheme over the holidays until at least Easter.
Kingston, Hammersmith and Fulham, and Hounslow councils are among the organisations offering school meals through half term.
The Children's Commissioner for England, Anne Longfield, has compared the situation with a Charles Dickens novel.