The simple answer is that almost all motors under 300hp can be operated overspeed safely and without damage to their operating lifespan. The exception being two pole motors--either 3000rpm (50hz) or 3600rpm (60hz). On those, overspeed much over 15-20% should include a call to the manufacturer.
Running a motor overspeed does not increase its horsepower or kw rating so you very well might run out of hp before you reach your desired max speed especially with fans and centrifugal pumps.
Finally, you must be sure the load can safely run at those higher speed. Many gearboxes, for example, will foam their lubricating oil above rated speed and short service life is the sad result. Also, large centrifugal load like fans can reach their critical speed and literally vibrate themselves apart due to resonance. You don't want that.
As usual, our advice basically is to do anything like this with your eyes open and your brain fully engaged!