On the second Saturday of every month, there would be a Flower Show within the balmy southern parts of the region, where you would be able to buy rare Berries that you cannot acquire anywhere else. In addition, for a rather hefty price, you can purchase yourself a strip of loamy dirt and some sun-lamps so that you could maintain some Berry growth within the privacy of your own Secret Base. In addition, you get to fight against Gardeners and Aroma Ladies until you get up to Grange Leader Bob, who gives you a tough match with his Grass/Fire team. Afterwards, you get one of either a rare Grass or a rare Fire Pokemon - but only one! To get the other one you need to trade.
In addition, every so often as determined by random number generation, there will be some cosmic activity in the night skies, and the local observatory would invite everyone and anyone to bring their blankets and equipment to watch the event unravel. Sometimes it'll be a meteor shower, othertimes it might be a comet, and at even other times you'll get a solar flare. Depending on the event, you can expect prolific use of Rock, Ice, Steel, and Fire types when you fight against some of the trainers there, in particular you'll see several Solrock, Lunatone, Magneton, Magcargo, and others yet. You'll be able to find several evolution stones, Everstones, and Star Pieces/Stardust in the field, but again these events are sporadic so make sure you scoop up all you can get from the ground.