Showing Top 3 within a multiple count query

Within a query that contains multiple counts based on a combination of data elements, is there a way to display in the results the top 3 records for each count?  Desired Output and  Current Query text below

SELECT  distinct
msg.record
,msg.field
,msg.logmsg
,look.error_txt
,COUNT(DISTINCT msg.extra1) AS "Cnt_Extra1"
,COUNT(DISTINCT MSG.KEY1) as "CNT_KEY1"
,msg.run
,look.ERROR_NBR
,look.IDENT
FROM dbo msg
          ,dbo.look
WHERE msg.KEY2=look.IDENT
and msg.LOGMSG=look.error_nbr
and msg.module = 'ENR'
and LOOK.IDENT like 'enr%'
and msg.RUN_DT>'2014-03-18 09:56:38.000'
GROUP BY msg.record
  ,msg.field
,msg.logmsg
,look.error_txt
,msg.run
,look.ERROR_NBR
,look.IDENT