Provided are organic device packages configured to limit current flow through shorted sub-elements in the organic device. In some embodiments, the organic device package may include multiple elements, each having multiple sub-elements connected in parallel. Each element may have a first electrode patterned into thin electrode strips connected in parallel, and each of the electrode strips may be an electrode of one of the multiple sub-elements. The electrode strips may have a resistance which may be higher than the overall resistance of other sub-elements in the element, such that a current flowing to the element may be substantially limited from flowing through a shorted sub-element in the element. Each element may also be connected in series to another element in the organic device package, and one or more series-connected elements may also be connected in parallel within the package.