What exception classes are in the standard C++ library

Solution 1:

std::exception <exception> interface (debatable if you should catch this)
    std::bad_alloc <new> failure to allocate storage
        std::bad_array_new_length <new> invalid array length
    std::bad_cast <typeinfo> execution of an invalid dynamic-cast
    std::bad_exception <exception> signifies an incorrect exception was thrown
    std::bad_function_call <functional> thrown by "null" std::function
    std::bad_typeid <typeinfo> using typeinfo on a null pointer
    std::bad_weak_ptr <memory> constructing a shared_ptr from a bad weak_ptr
    std::logic_error <stdexcept> errors detectable before the program executes
        std::domain_error <stdexcept> parameter outside the valid range
        std::future_error <future> violated a std::promise/std::future condition
        std::invalid_argument <stdexcept> invalid argument
        std::length_error <stdexcept> length exceeds its maximum allowable size
        std::out_of_range <stdexcept> argument value not in its expected range
    std::runtime_error <stdexcept> errors detectable when the program executes
        std::overflow_error <stdexcept> arithmetic overflow error.
        std::underflow_error <stdexcept> arithmetic underflow error.
        std::range_error <stdexcept> range errors in internal computations
        std::regex_error <regex> errors from the regular expression library.
        std::system_error <system_error> from operating system or other C API
            std::ios_base::failure <ios> Input or output error

Source: http://en.cppreference.com/w/cpp/error/exception
In practice, most exceptions are custom exceptions derived from logic_error and runtime_error. Not that these are neglected, but that many exceptions are domain specific.

Keep in mind that an exception should reflect what went wrong and not who threw it. (No "MyProgramException"s)

Solution 2:

See this site

Exception               Description
===================================
std::exception          An exception and parent class of all the standard C++ exceptions.
std::bad_alloc          This can be thrown by new.
std::bad_cast           This can be thrown by dynamic_cast.
std::bad_exception      This is useful device to handle unexpected exceptions in a C++ program
std::bad_typeid         This can be thrown by typeid.
std::logic_error        An exception that theoretically can be detected by reading the code.
std::domain_error       This is an exception thrown when a mathematically invalid domain is used
std::invalid_argument   This is thrown due to invalid arguments.
std::length_error       This is thrown when a too big std::string is created
std::out_of_range       This can be thrown by the at method from for example a std::vector and std::bitset<>::operator[]().
std::runtime_error      An exception that theoretically can not be detected by reading the code.
std::overflow_error     This is thrown if a mathematical overflow occurs.
std::range_error        This is occured when you try to store a value which is out of range.
std::underflow_error    This is thrown if a mathematical underflow occurs.