For SQL Server:
GROUP BY datepart(year,datefield),
datepart(month,datefield),
datepart(day,datefield)
or faster (from Q8-Coder):
GROUP BY dateadd(DAY,0, datediff(day,0, created))
For MySQL:
GROUP BY year(datefield), month(datefield), day(datefield)
or better (from Jon Bright):
GROUP BY date(datefield)
For Oracle:
GROUP BY to_char(datefield, 'yyyy-mm-dd')
or faster (from IronGoofy):
GROUP BY trunc(created);
For Informix (by Jonathan Leffler):
GROUP BY date_column
GROUP BY EXTEND(datetime_column, YEAR TO DAY)