From what I understand.
Lima beans are supposed to easily cross pollinate with each other, over more than twenty years, mine never have.
Runner beans are supposed to easily cross pollinate with each other, same thing, over more twenty years, mine never have.
Common beans are only rarely supposed to cross pollinate with each other, mine do it all the time.
Due to this fact I get four or five new hybrids every year
New crosses are generally not identifiable in the year the cross occurred. The F1 crossed seeds will look just like the other seeds from the mother variety. All the beans from growing the F1 seeds will look the same but probably different than the mother. Growing the F2 seeds can yield a bunch of different kinds, I've confirmed as many as six and it may be more. That segregation goes on for years, but I don't know how many years. The result is that it is a lot of trouble trying to keep track for sure. It is hard enough if just one actual cross has happened but if two or three have happened and you grow it all in a mix it becomes pretty much impossible, I just gave up on it.
I grow some of my beans as individual semi-isolated varieties for specific uses. It is only when I find an off-type in one of them that I know a new cross (rather than on going segregation) has happened. I pull them out of the individual variety and add them to the mixed-up group the next season. I don't try at all to keep track anymore; it's just more trouble than it's worth. As they keep segregating, I just let nature take its course and figure the best adapted make the most seeds each year and thus get replanted the most.
Why the other species that are supposed too easily cross, never have is a mystery to me.