That's really not true - especially in some of the big London state secondaries.
DD's school offer 2 hrs of PE in the timetable - however, after school there is street dance, contemporary dance, archery, fencing, horse-riding, swimming, cycling, basketball, volleyball, table tennis, hockey, netball, rugby and football. All of the above are free, and there is a full programme of sports fixtures against other schools and in regional/national competitions.
Art GCSE is available as Fine Art, Graphics, Photography or Textiles. You can also do a BTEC in Creative Media Production in place of a GCSE. Also have Design Tech. Y7 and Y8 were 2 hours of Art and 2 hours of Design Tech a week.
Music - also 2 hours a week in Y7 and Y8... just had a look and they had on offer last week, 3 choirs, full orchestra, 4 bands, 7 ensembles and a load of other things from Jazz to African drums.
Sport, Art and Music all offer additional 'scholarship' classes on top of the above during and after school for those who are keen and interested.
Easily on a par with what one of my siblings had available at a top public school, and far better than what I got at a super-selective grammar.
DD has had a counsellor in school since Y7... took less than 48 hours to get an initial appointment and she still sees them on a relatively regular basis over 2 years later.
These are the questions to ask about when you are looking round schools.