A download is comprised of download-times, download-time id, and buno ID. Faults are comprised of fault-codes, download-time id, status, and type. A download can have many
I'm giving my answer because I have significant doubts about the other answers. You gotta be careful about filter requirements. Remember, the where clause runs after your joins. So if there are any filter requirements in the where clause that refer to the non-outer joined table, you have (in many circumstances) nullified your outer join. So taking your sql, It seems the simplest solution is to either use the proper join or move the table names appropriately, and then move the filter conditions out of the where clause and into the join clause.
SELECT f.faultcode, f.downloadtimeid, d.downloadtime, count(*) as faultcount
FROM download_time d
RIGHT OUTER JOIN fs_fault f ON
f.downloadtimeid = d.id
AND f.faultcode IN (1000,1100)
AND f.statusid IN(2, 4)
AND d.downloadtime BETWEEN '04/11/2011' AND '05/01/2012')
AND d.bunoid = 166501
GROUP BY d.bunoid, f.downloadtimeid, d.downloadtime, f.faultcode
Another way which I believe should be equivalent is
SELECT f.faultcode, f.downloadtimeid, d.downloadtime, count(*) as faultcount
FROM download_time d
RIGHT OUTER JOIN fs_fault f ON
f.downloadtimeid = d.id
AND d.downloadtime BETWEEN '04/11/2011' AND '05/01/2012')
AND d.bunoid = 166501
WHERE
f.faultcode IN (1000,1100)
AND f.statusid IN(2, 4)
GROUP BY d.bunoid, f.downloadtimeid, d.downloadtime, f.faultcode
As it doesn't strictly matter where the filter requirements on fs_fault are. (and your SQL engine's going to change that all up anyway).
Edit: Here's a SQLFiddle demonstrating filtering on the join clause vs. the where clause.