A chalk bag that's too narrow forces you to push your fingers in awkwardly, hits your knuckles on the rim, and ends up with chalk on your wrist instead of your palm. Most generic chalk bags are sized for average hands — climbers with larger hands (US glove size XL+, hand width over 9cm at the knuckles) need a deliberately oversized bag.
The four bags below all have an opening of 12cm or wider and a deep, fleece-lined bucket that lets a wide hand drop in without contact. Two are bouldering buckets (worn on the ground); two are waist-belt bags (worn while climbing).