Try running below query, will return you tables list with last statistic updated date and rows updated later on, these tables requires a statistics update with FullScan

SELECT OBJECT_NAME(id),name,STATS_DATE(id, indid),rowmodctr

FROM sys.sysindexes

WHERE STATS_DATE(id, indid)<=DATEADD(DAY,-1,GETDATE())

AND rowmodctr>0

AND id IN (SELECT object_id FROM sys.tables)