Sorcerers will usually tend to have much more offensive spell lists than wizards, as they can know less spells. The difference is that a sorcerer can make their spells do things, for example: wanna cast a fireball a bonus action? done. wanna fire two fire bolts with the same action? done. You're out of spell slots? just make new ones from your innate magic energy (metamagic points).

Where the wizard will have a LOT of versatility on the sheer amount of spells they can know, a sorcerer will be able to shape their own spells to do what they want with what they have.