Hello Nguyen,
To answer your questions:
1. Yes we do have other product that uses the self-capacitance modes as well.
2. The LPC845 only uses the mutual-capacitance mode.
To elaborate on the first question, I can recommend different product in case you have other requirements such as other peripherals being used, communication protocols, connectivity, etc. However to get you started I'll point you to one of our kinetis products, KE1xZ .This mcu has the option to select either mutual or self-capacitance mode. We also have a freedom board available to help you get started.
Please let me know if this information is useful, or if you have other requierements and I will help you find a suitable product.
Best Regards,
Sabina