Peel the carrots and put them in a food processor fitted with a round shredder disk. Shred the carrots.
Put the broccoli florets in the food processor and shred them too.
Put the shredded broccoli and carrots into a large bowl, and add the raisins and sunflower seeds.
Switch with shredder disk in the food processor with a regular steel blade.
Peel the ginger and add to the food processor, along with lemon juice, olive oil and honey (if using). Process the mixture in a food processor until smooth to make a dressing.
Add the ginger dressing to the broccoli and toss until combined.
Notes
To make this broccoli slaw low-carb, just omit the raisins and honey.