This query, based on the old one by Martijn Pieters shows all answers which count towards a person's Illuminator badge. (The old query included answers with 0 score as well; those don't count, but might be upvoted in the future – that's probably why they are included. You might be interested in improving those answers so that they attract upvotes.)
For reference, here is the complete query:
select a.Id as [Post Link], a.Score, a.CreationDate
from Posts q
join Posts a on a.ParentId = q.Id
where q.PostTypeId = 1 and
q.ClosedDate is null and
a.PostTypeId = 2 and
a.Score >= 1 and
a.OwnerUserId = ##UserId## and
-- exclude self answered
IsNull(q.OwnerUserId, -1) <> a.OwnerUserId and
exists(select 1
from PostHistory ph
where ph.PostHistoryTypeId in (4,5)
and ph.PostId = a.ParentId
and ph.UserId = a.OwnerUserId
and abs(datediff(hh, ph.CreationDate, a.CreationDate)) < 12)
order by a.CreationDate desc
It comes with the usual disclaimer that SEDE data is updated only once a week, on Sunday morning.