Here’s something you can’t do with a lambda:
std::unique_ptr<SomeType> ptr = ...;
return std::bind(&SomeType::Function, std::move(ptr), _1, _2);
Lambdas can’t capture move-only types; they can only capture values by copy or by lvalue reference. Though admittedly this is a temporary issue that’s being actively resolved for C++14 😉
“Simpler and clearer” is a matter of opinion. For simple binding cases, bind can take a lot less typing. bind also is focused solely on function binding, so if you see std::bind, you know what you’re looking at. Whereas if you use a lambda, you have to look at the lambda implementation to be certain of what it does.
Lastly, C++ does not deprecate things just because some other feature can do what it does. auto_ptr was deprecated because it is inherently dangerous to use, and there is a non-dangerous alternative.