Combine the soy sauce, honey, sesame oil, garlic, and ginger in the insert of a 6-quart slow cooker. Add the beef and turn to coat.
Cover and cook on low, turning occasionally, until the beef is tender and falling apart, at least 4 hours. Using two forks, pull the meat into shreds.
When ready to serve, combine the cole slaw mix, scallions, onion, sesame seeds, and red pepper flakes in a medium bowl. Add the seasoned rice vinegar and toss to coat.
To assemble the wraps, spoon ¼ cup of the beef into a lettuce leaf. Top with some of the cabbage salad. Serve immediately.