there was a good calendar  in tomahawk tagLib
<t:inputCalendar />
try it

and there is another one in trinidad and one in tobago
but none of those (tomahawk, trinidad) work with persian calendar
do you need a calendar  with persian (jalali) calendar support?

you can do it in variation wayts and all of them cover
all you needs and have Year,Month and dates. you can
find and download a lot of calendars were coded by js.
for example you can download a very nice cal. on
dynarch.com. In addition, if you use JSF tags in your
pages you can use apache tobago tag <tc:calendar> (tag
class is
org.apache.myfaces.tobago.taglib.component.CalendarTag)
or apache Tomahawk tag <t:inputCalendar>