From my experience you should choose between Mobi Pick and Mobiscroll.
Datebox
I found some Datebox rendering problems on my previous android phone (galaxy S2), other then that Datebox is close to Mobi Pick (performance vise + configuration potential). Main difference between Datebox and Mobi Pick is final design.
Working jsFiddle example: http://jsfiddle.net/Gajotres/ktbcP/
<input name="mydate" id="mydate" type="date" data-role="datebox" data-options='{"mode": "datebox", "useNewStyle":true}'/>
Mobiscroll
Mobiscroll has much more options and skins. It can be much better integrated into jQM and it has much better responsive UI, unfortunately it has performance problems on 2.X android phones (no problem with iPhone devices).
Working jsFiddle example: http://jsfiddle.net/Gajotres/WDjfR/
$(document).on('pagebeforeshow', '#index', function(){
$('#demo').mobiscroll().date({
invalid: { daysOfWeek: [0, 6], daysOfMonth: ['5/1', '12/24', '12/25'] },
theme: 'android-ics',
display: 'inline',
mode: 'scroller',
dateOrder: 'dd mm yy',
dateFormat : "dd-mm-yy"
});
});
Mobipick
I would pick Mobi Pick over Mobiscroll in case you are satisfied with its UI look. If you are not use Mobiscroll instead.
Working jsFiddle example: http://jsfiddle.net/Gajotres/zyVjE/
$(document).on('pagebeforeshow', '#index', function(){
$('#demo').mobipick({
dateFormat: "MM-dd-yyyy"
});
});
More info
Detailed overview and examples can be found here.