"while loop" not breaking (using Python)

The code is perfect, except a redundant else, as mentioned in the comment. Are you entering a (a + space) rather than simply a (a without space) ? The problem is in the input that you are providing and not in the code!

def chooseReport():
    print "Choose a report."
    t=True                                        # t starts at true
    while t:
        choice = raw_input("Enter A or B: ")
        if choice == 'a' or choice == 'A':
            reportA()
            t=False               # t turns false to break out of loop
        elif choice == 'b' or choice == 'B':
            reportB()
            t=False

Try this. It keeps looping when t is true and stops when t is false. The problem might also be in reportA or reportB or how you are calling chooseReport.

The problem is in the raw_input(). It returns a string but maybe this string is "a " or "a\n" though you have entered "a" or "b".

I would do this:

def chooseReport():
    print "Choose a report."
    while True:
        choice = raw_input("Enter A or B: ")
        if "a" in choice or "A" in choice:
            reportA()
            break
        elif "b" in choice or "B" in choice: 
            reportB()
            break
        else:
            continue

Tried your code in the following script, it works fine both on Linux and on Windows.

def reportA():
    print "AAAAA"

def reportB():
    print "BBBBB"

#Choose Report
def chooseReport():
    print "Choose a report."
    while True:
        choice = raw_input("Enter A or B: ")
        if choice == 'a' or choice == 'A':
            reportA()
            break
        elif choice == 'b' or choice == 'B':
            reportB()
            break
        else:
            continue


chooseReport();

First, your code works fine, the most probably error is that you are writing a wrong input (e.g: with more characters). To solve that you could use "a" in choice or "A" in choice. But if it isn't working... keep reading.

It's seems that break isn't affecting the while loop, I don't have python 2 so I am not very sure why (in python 3 [after change raw_input to input and print to print()] your code works perfect). So you should use the condition of the while to break it.

while True work theorically for ever because each time the code is executed it checks the condition -True- and because it's true it keeps looping.
You could manipulate that condition in order to break the loop (don't allow execute again its code).

For example you could use this:

#Choose Report
def chooseReport():
    print "Choose a report."
    allow = True    # allow start as True so the while will work
    while allow:
        choice = raw_input("Enter A or B: ")
        if choice.lower().strip() == "a":    # This is better. .lower() make "A" > "a", and .strip() delete " a " to "a", and "a/n" to "a".
            reportA()
            allow = False   # allow now is False, the while won't execute again
        elif choice.lower().strip() == "b":
            reportB()
            allow = False   # allow now is False, the while won't execute again
        # The else is complete redundant, you don't need it

Code is fine. I think you call your chooseReport() function in a loop or your input has extra characters and if conditions didn't satisfied.