Slice cucumbers into thin rounds or half-moons. Place in a colander, sprinkle with salt, and toss. Let sit for 10 minutes to draw out moisture.
While cucumbers rest, heat neutral oil in a non-stick skillet over medium-high heat. Add the cooked rice in an even layer. Cook without stirring for 2–3 minutes until golden and crispy on the bottom. Flip and cook another 2–3 minutes until evenly crisp. Transfer to a paper towel-lined plate.
In a small bowl, whisk together rice vinegar, soy sauce, sesame oil, honey, and minced garlic until combined.
Rinse the salted cucumbers under cold water to remove excess salt. Pat dry with a clean towel or paper towels.
In a large bowl, combine cucumbers and dressing. Toss gently to coat.
Divide cucumber mixture between bowls. Top with crispy rice and sprinkle with sesame seeds. Add optional toppings if desired. Serve immediately.