If you are talking about the modern 1162xx series (e.g. 116200, 116233, 116234), then mymanmatt at repgeek sells modern Datejust cases that should be compatible with SA3135 or Yuki (but you should message him to verify)
BP modern 36mm Datejust have weird-looking lugs/case that isn't very gen-like, so franken may be the only way to go:
BP 36mm Datejust SA3135
Gen 116234