Você precisa atualizar o formato de data:
select * from hockey_stats
where game_date between '2012-03-11 00:00:00' and '2012-05-11 23:59:00'
order by game_date desc;
select * from hockey_stats
where game_date between '2012-03-11 00:00:00' and '2012-05-11 23:59:00'
order by game_date desc;