The Sims Mobile features special events. You can find them in the Missions tab. They last around 4 hours and get renewed every 24 hours. Finishing them yields 7 house tickets, 225 simoleons, 36 experience points and a 50% chance of getting house super tickets. The special events take place in the city, usually in the center. Participating in special events is one of the daily tasks. Doing it is worth 25 XP.
Special events are also a good opportunity for meeting new sims. There are many of them hanging around the center, so you can look for chances to develop stories.