I saw a similar question asked but it wasn't exactly the same. On mobile check boxes feel rather fiddly and to be fair on my search around the web I haven't seen checkboxes commonly used on mobile sites. I have filters that filter a news listing page. Currently the desktop version uses checkboxes to refine the results. What is most commonly used on mobile for multi-select options other than check boxes?
One option is to use full-width buttons combined with checkboxes or buttons that can be toggled.
You can see both styles used by jQuery Mobile:
Otherwise, make an entire table row or list item selectable as suggested by Henrik Ekblom.
And as per Android guidelines:
Typically, you should present each checkbox option in a vertical list.
The issue here is affordance. Checkboxes give a clear indication that selecting that element will simply select it and not perform some other action.
If you don't have checkboxes at all, you will be stuck with poorer affordance, and possibly confused users. Additionally, you will have to mark the selected items in some way, which would typically be a checkbox anyway - so you don't gain very much.
Alternatively, you can move the ability to select behind another action button. This is usually done in iOS apps, where select an (usually an 'edit') button, which then reveals the checkboxes to select. Only now selecting anywhere on the item checks the item.
The issue should be more about how you can make checkboxes less 'fiddly' and not about how you can avoid them. One of the better ways is to make the active area for the checkbox much larger than the visual area. You can then have a small, subtle, checkbox to show affordance, and have it easily selectable. This is what Gmail for Android does, and it has proven easy to use.
Make the entire row selectable, but also use checkboxes as an indication of the row being selected (if no checkboxes are used, selected and not selected states may be hard to differentiate).