If you give us a precise description of what you're trying to accomplish, we can probably show you the way. It's very likely been done already. Attempting to withhold information just frustrates those who are trying to help you...
On a more theoretical level, MOSFETs make very good constant-voltage switches, which, for a certain range of applications, naturally require an antiparallel diode action. The nearest inverse would be a vacuum tube triode, which does not conduct in the reverse direction, and which exhibits a somewhat constant-voltage output characteristic (not very well, which belies its true nature, but much more so than any other device). Considering vacuum tubes aren't so common (or easy to use), the most practical analogous device would be an SCR, which does not conduct in reverse, however because it latches in the forward direction, it cannot be used for linear amplification purposes. IGBTs do not conduct in reverse, in and of themselves, but do not tolerate much reverse voltage, and are frequently packed with diodes for protection.
To be fair, a MOSFET does not necessarily conduct in reverse, but because substrate and source are generally hard-wired internally, you don't have any choice. Very old signal MOSFETs had the substrate taken out to a separate pin. CMOS devices use the substrate implicitly (making analog switch ICs possible). Some devices are available which have no conducting substrate, such as GaN-on-Si transistors, though within recommended operating limits, they also don't support much reverse voltage, and end up acting like diodes as well.
Tim