Why is Java Vector class considered obsolete or deprecated?

Vector synchronizes on each individual operation. That's almost never what you want to do.

Generally you want to synchronize a whole sequence of operations. Synchronizing individual operations is both less safe (if you iterate over a Vector, for instance, you still need to take out a lock to avoid anyone else changing the collection at the same time, which would cause a ConcurrentModificationException in the iterating thread) but also slower (why take out a lock repeatedly when once will be enough)?

Of course, it also has the overhead of locking even when you don't need to.

Basically, it's a very flawed approach to synchronization in most situations. As MrSpandex pointed out, you can decorate a collection using the calls such as Collections.synchronizedList - the fact that Vector combines both the "resized array" collection implementation with the "synchronize every operation" bit is another example of poor design; the decoration approach gives cleaner separation of concerns.

As for a Stack equivalent - I'd look at Deque/ArrayDeque to start with.

Vector was part of 1.0 -- the original implementation had two drawbacks:

1. Naming: vectors are really just lists which can be accessed as arrays, so it should have been called ArrayList (which is the Java 1.2 Collections replacement for Vector).
2. Concurrency: All of the get() set() methods are synchronized, so you can't have fine grained control over synchronization.

There is not much difference between ArrayList and Vector, but you should use ArrayList.