[Old Pedant]

SELECT stories.give, stories.list, stories.of, stories.fields, categories.wanted
FROM stories INNER JOIN categories
ON stories.catid = categories.catid
WHERE categories.name LIKE '%racing%'
  AND stories.name LIKE '%racint%'

Or use an "implicit join", thus:

SELECT stories.give, stories.list, stories.of, stories.fields, categories.wanted
FROM stories, categories
WHERE stories.catid = categories.catid
  AND categories.name LIKE '%racing%'
  AND stories.name LIKE '%racint%'

And/or use aliases on your table names to make shorter queries, thus:

SELECT S.give, S.list, S.of, S.fields, C.wanted
FROM stories AS S, categories AS C
WHERE S.catid = C.catid
  AND C.name LIKE '%racing%'
  AND S.name LIKE '%racint%'

Or or or or ...