fast bus serial or parallel

I'm looking for a way to connect my peripheral chip with main application processors or base band chips (external connection i.e. on board). I don't want to use PHY for serial interconnect. For example, currently I’m using SPI which is fast enough (40 MHz) but I want to be compatible with other fast I/Fs. what protocols do you know that are used by main AP vendors? TI, Broadcom, Qualcom, Samsung, Marvel, etc?