The bottom connector is a Molex/ATX connector. Used on ATX motherboards either for power supply (mostly) and/or data transfer. Used in computers extensively, but isn't limited to them; they can be used in a variety of appliances, such as microwave ovens, [older] TV's, Smart Fridges, and newer electric and gas oven/range combos.
The top connector has no real designation from what I can dig up. It's just a normal power/data connector. However, the 40-pin variants were used in old Hard Drives before 2006ish for serial data communication.
For more info about Molex/ATX connectors, click here.