A bag with flexible sidewalls defining an interior volume is provided with leak resistant features that function to absorb and retain liquids. These features include an absorbent-adhesive mixture that may be made from an adhesive and absorbent agents such as a super absorbent polymer. The absorbent-adhesive mixture can be applied on an inner surface of the flexible sidewalls in a location where it is likely to encounter liquids. The leak resistant features can also include a substrate that may be made from a non-woven material that is also applied to the inner surface of the sidewall and can be bonded to the sidewall by the absorbent-adhesive. In various embodiments, the bag can also include odor neutralizing features and/or configured with stretchable sidewalls.