Scott, Renew is very good stuff. However, it will rust stainless and if left, can discolor chrome. Go old school on tile and make a slurry of warm water and Barkeeper's Friend. Brush, scrub or use a Makita and homemade scrub disk to gently scour the surfaces. It has no pumice, won't scratch and will absolutely remove almost anything. The Makita works wonders on glass too. Always use a lower speed to prevent flinging slops halfway to the Moon.
None of the above applies to natural stone. Viper Venom, formula 409 or any other alkaline detergent does pretty well on soap scum, though. Again, you can use the Makita as a force multiplier. Only caveat is be careful to NEVER use an abrasive pad on fiberglass or chrome! Red pads are safe, white may be too gentle.