Supramolecular assembly of organic dye compounds with J-aggregation leads to a red-shifted absorption spectrum that greatly facilitates the construction of near-infrared (NIR) materials. A considerable improvement of the material functions requires that the absorption red-shift be larger than 100 nm, but such a super-large red-shift is challenging, and the rules leading to the super-large red-shifted absorption is still not explicit. In this review, we focused on those J-aggregated organic dye materials with super-large red-shifted absorption. The nature of the super-large red-shift is originated from the intermolecular charge transfer between neighboring chromophores. The super-large red-shift can be obtained by tuning either the molecular structure or kinetic assembly process in a delicate manner. Materials with super-large red-shifted absorption have been successfully applied to biological imaging, phototherapy, electronic devices, and solar cells, and show great potential in many other fields. The elaboration of assembly induced super-large red-shifted absorption is promising for design of supramolecular NIR materials with tuned structures, enhanced functionalities, and a wide array of applications.