As a headteacher, I'd suggest the only things that matter ...
Will my child be happy here? (you'll just know when you look round)
Is there a lot going on (clubs, trips, PTA - a strong indicator of whether the school is going the extra mile?)
How are all abilities catered for - you don't know whether your child is the next Einstein or will need additional support? (if all in class are doing exactly the same thing, that is not realistic and someone somewhere is missing out!).
Look at progress, not attainment scores in the league tables. They show what the school adds compared to others. Read the Ofsted report, but see it as a snapshot in time - things change quickly for better or worse.
Ultimately, and sadly in the sense of today's society, you also need to look through the eyes of "Will my child make close, secure friendships here" which makes schools where the intake is radically different from your background more of a challenge for your child to fit in.
The rest is just window dressing. Forest school or dance clubs? You're overthinking it. If the outcome is happy, successful children, it won't matter in 10 years time which route they took to get them there.