In the preferred embodiments, the present invention provides substantially improved slit sheet cushioning products by advantageously combining novel paper properties with novel slit patterns for improved features and characteristics. In some illustrative and non-limiting example embodiments, cushioning products of the present invention can include, e.g., a novel slit sheet material in combination with extensible paper employed as, e.g., a cushioning pad or as cushioning within an envelope product, wherein the cushioning product can be substantially more resilient, but, yet, e.g., thinner for better utilization of space.