Take a look at this video by the King of DIY, Joey
He uses a product called Bar Keepers Friend, cheap and supposed to be much stronger than Vinegar. If you read the comments, other say they have also used the product and say it is great with no harmful side effects.
I've never used that product or any other harsher chemicals so I can't speak on their effectiveness, safety to livestock and whether or not they will degrade the silicone or stain anything. I can't speak if they would effect acrylic tanks either. Just thought I'd mention, as I was considering it, but just stuck with Vinegar as it was strong enough for me.
I've always just used Vinegar and elbow grease. I've used a razor blade on glass tanks with tough build up. I personally don't chance it with harsher chemicals, especially with sensitive livestock (inverts, "scaleless" fish, etc), even if thought to be rinsed enough
Hydrogen Peroxide and Bleach might be of some use for disinfecting, but haven't really used those.
There is also a bit stronger white vinegar solution of 5% (same aisle, label says cleaning strength vs the regular 3%) if you wanted to try that. I would think it to be just as safe as regular.