I was having a similar issue like yours, except that I wanted a specific subset of 'ancestry'. Hong Ning's query was a good start, except it will return combined records containing duplicates and/or extra ancestries (e.g. it would also return someone with ancestries ('England', 'France', 'Germany', 'Netherlands') and ('England', 'France', 'England'). Supposing you'd want just the three and only the three, you'd need the following query:
SELECT Src.user_id
FROM yourtable Src
WHERE ancestry in ('England', 'France', 'Germany')
AND EXISTS (
SELECT user_id
FROM dbo.yourtable
WHERE user_id = Src.user_id
GROUP BY user_id
HAVING COUNT(DISTINCT ancestry) = 3
)
GROUP BY user_id
HAVING COUNT(DISTINCT ancestry) = 3