1.white box testing
2.black box testing
3.gray box testing

The previous answer is are referring to different kinds of 
testing
with software testing methodology usually most IT 
industries follow
the V model or the traditional waterfall or other likes RUP 
which is used for project with short turnout time

Testing Methodologies are the Testing Techniques you follow 
for you AUT.

Like: Regression testing
      Alpha Testing
      Beta Testing
      Usability Testing    etc.....

And all these comes under the test plan we prepare for any 
AUT(Application Under Test).   

As per my organization testing methodologies consist of
following test.
1)Module testing.
2)Integration testing.
3)System testing.
4)Acceptance testing.

if some thing wrong plz inform me...

Above answers suggesting testing types while testing 
methodologies is a process or way to follow in software 
testing process: Now there are different types of testing 
methodologies which depends on which your company want to 
follow: 1.Agile 2.RUP 3.EUP 4.V model 5. W model 6. Spiral 
model 7. RAD

1)WhiteBox Testing
2)BlackBox Testing
3)GreyBox Testing
4)Graphical Analysis
5)Metrics