Occasionally the honest answer to a product question is that the product is not really the thing you want. Tinted primer is one of those. The idea is appealing — one layer that both preps the skin and evens out tone — but in practice the products that do it well stopped calling themselves primers and started calling themselves skin tints, and the ones still marketed as tinted primers are mostly sheer bases with a primer label.
That is not a problem, because the underlying want is completely reasonable and there are good products for it. It just helps to name what you actually need. If you want your skin tone evened out with minimal product, that is a skin tint or a tinted serum, and the tinted moisturizer page covers it properly. If you want one specific area of redness neutralized before your base goes on, that is a color corrector, which is a genuinely useful product and a different one. If you want a grip or blurring layer under a tinted product, that is a clear primer plus the tint — two steps, each doing one job well.
The one thing worth warning against is buying a tinted primer expecting coverage. These products are sheer by design, and the tint is usually there to counteract a cast — a slightly peach or yellow base that lifts sallowness — rather than to cover anything. If you have age spots or visible capillaries, a tinted primer will not touch them and you will have spent money on a layer that did not solve the problem.
So this page is a shorter list than most on this site, by design. Four real products that do what people search for under this name, and no padding to make the category look deeper than it is.