The terms "real leather," "genuine leather," and "pure leather" are often used to describe different qualities of leather in shoes. However, it's important to note that these terms can be somewhat misleading, and the quality of the leather can vary.

1. Genuine Leather:
- "Genuine leather" is a term that is commonly used to describe real leather. However, it's the lowest quality of real leather.
- It is made from the layers of hide that remain after the top-grain has been separated.
- While genuine leather is real leather, it may not be as durable or high-quality as other types.

2. Full Grain Leather:
- Full grain leather is considered the highest quality among the different types of leather.
- It is made from the outermost layer of the hide and retains the natural grain and markings of the animal.
- Full grain leather is often used in high-end footwear because of its durability and luxurious appearance.

3. Top Grain Leather:
- Top grain leather is the layer just below the full grain and has been sanded or buffed to remove imperfections.
- While it is still of good quality, it may not be as durable as full grain leather.

4. Corrected Grain Leather:
- Corrected grain leather is a lower-quality leather that has undergone processes to remove imperfections.
- It is often coated with finishes, giving it a uniform appearance but sacrificing the natural look of the leather.

When searching for real leather shoes for men, it's advisable to look for terms like "full grain leather" or "top grain leather" to ensure higher quality. Additionally, consider the construction and craftsmanship of the shoes, as these factors also contribute to their overall durability and comfort. Keep in mind that genuine leather is a broad category, and not all genuine leather shoes are of the same quality.