Well... don't drive like an ass and you should be fine. The "weak" gearbox has been branded as such because of the many abusive AWD launches from popped-collar teenagers.
BUT there is a trick if you're worried. Ever wonder why the Forester XT transmission wasn't branded as "weak" despite having
exactly the same gearset as the 2003-2007 WRX with increased torque? The key is the Final Drive ratio of the transmission. Physically modifying the final drive of the transmission requires a different set of differentials and a separate output shaft = pricey. There is a way, however, to effectively "gear down" your WRX without modifying the actual transmission:
How to make your car faster and reduce the stress on your transmission - NASIOC
However, there are a few drawbacks:
1. You'll be pushing higher revs on the highway -- decreased fuel economy will follow.
2. There will be
more wheel gap than stock... teenagers aiming for "herrafrush y0!" will cringe at this.
3. Lower non drag-limited top speed
4. Speedometer will read fast and Odometer will read high
BUT, you will put less strain on the tranny and you will get marginally better acceleration.
If this approach isn't for you, be prepared to shell out at least $1200 for a gearset + $1000 for an install. However, if you aren't over 300wtq, I wouldn't be concerned; just drive liberally.