There are very different definitions of sushi.
1.Do you mean authentic, traditional? If so, there isn't anything really close to DLR, but there are places in Tustin, Costa Mesa, and Fountain Valley.
2. Do you mean westernized rolls? As stated above, Roy's at GardenWalk will be the closest.
3. Do you mean AYCE? There is a place in Irvine, by SNA, that does this.
Try looking up "sushi restaurant, Anaheim" on Yelp! to see what comes up. Then you can choose what fits your needs and appeals to you most.