You aren't likely to find a part that guarantees low leakage, especially not at high currents, but typical leakage is much better than the worst case figure. The reason is it takes time to measure low currents, and time is money.
For what it's worth,
Philips NXP Nexperia has a series of "low-leakage" FETs. The specs aren't particularly impressive (25 nA guaranteed) but, hey, that's something. I seem to recall another manufacturer also has such a line but at the moment I can't remember which one.
Nexperia's catalog lists these parts as PMZ600UNEL / PMZB600UNEL (N-Ch), PMZ950UPEL / PMZB950UPEL (P-Ch), PMDXB600UNEL (Dual N-Ch), PMDXB950UPEL (Dual P-Ch), and PMCXB900UEL (dual complementary).
Oh, and they're in one of those satanic tiny little 1mm by 0.6mm DFN packages. Just in case you need an excuse to buy a JBC Nano station....