Sorry I got confused. I meant St Saviour and St Olaves, which historically used to be the sister school to St Olaves, except the latter moved out to Orpington (but which still apparently retains some duty to educate boys from Lambeth/Southwark.)
Thankfully we are well past 11+ days so I am not up to date with current views on schools or their selection criteria. Transport out of the centre is good so distance matters less. Ease and reliability are more important. (We went private and DD commuted to Ravenscourt Park tube quite happily, though she was the only one from her post code in the school.) We certainly knew kids who went to St Olaves, St Saviour (look at their entry criteria, from memory there were bonus points given to music), Sutton Grammars, Graveney, Harris Bermondsey, St Marylebone. One or two also made it to the Oratory or to the girls equivalent in Hammersmith but from families with strong church links.
Entry criteria can be tricky. Greycoats is very close to us but absolutely no chance. Friends nearby ended up renting a flat almost next door to the school, the catchment was so small. Back then the stream for those who got in via the language aptitude test was almost a school within a school, which created its own problems. They have now changed the religious points system. At one stage it felt as if both child and parents needed to be expert at church flower arranging whilst simultaneously attending all night prayer sessions. So lots commuting long distances and local children not getting a look in. Those close enough to be offered places then started choosing Pimlico Academy instead.
There were concerns about the religious associations of the people behind the Oasis Academy but don't know how that panned out. (We vaguely knew people whose kids were allocated there when it first opened.)
Secondary school transfer was a nightmare. Options were gain religion, tutor (and commute), rent in catchment, move, or pay. We did the last (DD sat for Tiffin but was 800th on their wait list. DS was 100th and is genuinely academic, indeed is currently taking a PhD in the US alongside a former Tiffin girl) but most rented or moved. At the time people were actively avoiding Lillian Baylis, which used to have 93% fsm, the highest in the country, though it has improved since.
In terms of actual state offers DS did not get anything till late May and then it was an unpopular school in North Lambeth. DD was offered a troubled school in Brixton which was a difficult commute and which they would not let us look round until the end of the summer term new starters day, and then only if she had accepted the offer. (And despite her having a clear dyslexia diagnosis.)
I hate the smug anti private threads, from posters with easy state options. It was tough effectively working 2 jobs so we could afford it. (Hence my long standing user name.) However we love living in Central London and the kids had endless opportunities.