In particular, exceptions and RTTI are absolutely verboten.
Ignoring RTTI is fine, but forbidding exceptions requires a dangerous sort of doublethink. The language itself, as well as the STL, is defined to generate and use exceptions. By ignoring their existence, you banish yourself to a nonstandard purgatory.
For example, every new now must become new(std::nothrow). For every STL container type, you have to provide a custom allocator that doesn't throw. That's a bit unwieldy.
By denying exceptions, you force everyone to use error-prone idioms. For example, the only way a constructor can signal a failure is to throw an exception. If you forbid exceptions, then all constructors must always be failure-proof. And then you have to provide an extra initializer method to do the real initialization that can fail. Every user of the class must reliably call the init method after construction, which gets cumbersome when classes are nested or when you're putting instances into an STL container. It also means that objects can have a zombie state--that period of time between construction and initialization. Zombie states add complexity and create an explosion in the number of test cases. Separate initialization means you can't always use const when you should.
Exceptions are necessary to the C++ promise that your object will be fully constructed and later destructed, or it will not be constructed at all. This is the basis of the RAII pattern, which just happens to be the best pattern yet devised for resource management. Without RAII, you will almost certainly have leaks. Worse, you won't be able to write exception-safe code, so you are essentially closing the door to ever using exceptions.