Elliot's answer great and addresses first part of your question, so let me address second part of it (as it is quite different)
First, wanted to mention that select modifiers like SELECT * EXCEPT
are supported for BigQuery Standard SQL so, instead of
SELECT * EXCEPT(detected_circle.center_x )
FROM [bigquery-public-data:eclipse_megamovie.photos_v_0_2]
LIMIT 10
you should rather tried
SELECT * EXCEPT(detected_circle.center_x )
FROM `bigquery-public-data.eclipse_megamovie.photos_v_0_2`
LIMIT 10
and of course now we are back to issue with `using period in standard sql
So, above code can only be interpreted as you try to eliminate center_x
field from detected_circle
STRUCT (nullable record). Technically speaking, this makes sense and can be done using below code
SELECT *
REPLACE(STRUCT(detected_circle.radius, detected_circle.center_y ) AS detected_circle)
FROM `bigquery-public-data.eclipse_megamovie.photos_v_0_2`
LIMIT 10
... still not clear to me how to use your recommendation to remove the entire detected_circle.*
SELECT * EXCEPT(detected_circle)
FROM `bigquery-public-data.eclipse_megamovie.photos_v_0_2`
LIMIT 10