Likely retractable, so that they do not get damaged during everyday use. They would likely replace fingernails.
Probably not unlike a cat or snake, which would mean that Vampires would have fewer teeth (as they would no longer need Molars etc. if they live solely on blood). They would have other smaller fangs in order to help grip their prey whilst they drink the blood. They may also inject a venom to paralyze their victim and make them resist less to having their blood sucked from their body.
This might mean their face is more protruding and their mouth is bigger, in order to be able to clamp onto their prey better in order to stop them escaping once their teeth are sunk into their victim's flesh.
Skin burns in Sunlight
This already exists in humans. There are a number of different genetic diseases that cause people's skin to react badly to UV rays, Phytophotodermatitis being one such disease, and they cause differing levels of severity of reactions.
Not unheard of, but very rare in humans. Vampires being allergic to garlic may mean they are also allergic to onions, though the two seem to be linked this doesn't necessarily mean anyone with one allergy immediately has the other. Could, at worse, cause anaphylactic shock if ingested.
Ability to see in the dark
Humans can see in the dark, but not as well as owls. This is due to the fact they have very large eyes in proportion to their body. This means Vampires would need much larger eyes in order to be able to see better than humans in the dark. Their pupils will also likely react much quicker to change in light levels, as too much light could probably easily blind them when their pupils are fully dilated.
So far we've tackled most things on your list without having to change anything outside the realms of possibility, as they all already exist in some form or other in either humans or other animals. The rest of the things, however, would need to be stretched slightly in order to achieve Vampirism.
Immunity to diseases
To have an immune system that fights off everything, it would be difficult not to develop an autoimmune disorder, which attacks healthy tissue as well as diseases. It's unlikely that every Vampire would be resistant to every disease without any side effects.
Brian Shaw is the current World's Strongest Man, and the guy is a 6'8" colossus. Not really inconspicuous, as Vampires would need to be. So unless you want to have not all vampires stronger than all humans, they may have a more wiry strength like a lightweight boxer.
This requires technique as well as strength, which means that Vampires would still need to practice rather than just be naturally strong. This would be the same with speed. Usian Bolt has incredibly long legs and is very tall, but again it is mostly technique, so training would be required to outpace humans.
The only thing that I can suggest to fix all of these things at once is that Vampires are simply able to fix their muscle cells faster with handwavium (or whatever information you can get over from Biology SE for cells recovering quicker).
This would mean that Vampires can train longer and harder than humans, allowing them to achieve great physical feats much easier than we can. This means better stamina, better strength, better speed, better technique from the extra time put into training, and quite possibly better resistance to diseases.