The 4-bit parallel LCD protocol uses 7 digital signals—4 data channels, an enable signal, a register select signal, and a read/write control signal.
Any Saleae product with 7 or more digital channels can record 4-bit parallel LCD data, which the software can then decode.
Note: To use the LCD analyzer in 4-bit mode, you will need to set signals DB0 to DB3 to "none" and then assign the upper 4 bits to your 4-bit bus.
The following products have enough channels for this:
Logic Pro 8
Logic Pro 16
The original Logic (8 channel, digital only)
The original Logic 16 (16 channels, digital only)