Some bacterial strains are resistant to iron, but I don't know if there's a sensible one, or maybe a mutant strain, if anyone knows about it that will be really helpful.
If by sensitivity to Iron you mean sensitivity to Iron ions, I don't think so; owing to this fact that it seems Iron ion is an essential trace element for every living thing.
But if you just looking for any Iron base complex like iron oxide, there is some examples particularly zero-valent Iron particles.
e.g. 1-just Google this "zero valent iron nanoparticle antimicrobial"
2- find this article "Bactericidal effect of zero-valent iron nanoparticles on Escherichia coli"
or this 3- "Use of zero-valent iron nanoparticles in inactivating microbes"
or this 4- Bactericidal effect of iron oxide nanoparticles on Staphylococcus aureus
In low concentration it seems that there is no sensitivity to Iron, HOWEVER, Many microorganisms are Sensitive to high concentration of Iron (Fe++ and Fe+++) such as E.coli, S. aureus, MTB and so on, and only those which have a particular ability can tolerate high concentrations.
As an example if the required Fe concentration for E.coli growth would be 0.1 ppm, the bacteria is not able to tolerate much more higher concentration of Fe (e.g 10folds higher ). There is just a few bacterial species that are capable of tolerating or even growth in this condition (high concentration of Fe) since they have some Iron-related metabolism e.g. iron reducing respiratory bacteria, Iron-oxidizing bacteria and maybe magnetotactic bacteria.
The nZVI sensitivity is related to the ROS production rather than the Fe itself. There are few people in my research group who has been working on it.
In circumneutral oxic environments the all the soluble Fe oxidizes to Fe(III) which is virtually non-soluble, thus impossible to reach concentrations of non-chelated Fe that would have toxic effects as any other heavy metal. You can artificially increase the soluble iron with EDTA or other chelants.