If the fence or barrier is designed to keep folks (rather than livestock/animals) from crossing then you'll need some cutters, otherwise getting past an old fashioned simple barbed wire fence then you seem to have it figured out.

There are many different types of security wire/fence or barbed tape.

http://www.birminghambarbedtape.co.uk/index.php

Even then some are designed to be resistant to wire cutters such as the Park Tool CN-10.