I think it's pretty much open in terms of what you do and don't believe in. Here's my take, although I'm not the biggest New Ager out there.
Tarot Card: Can potentially be used by psychics as a resource tool, however, truly gifted psychics don't use tarot cards.
Hypnosis: Obviously a believer, but what specifically about hypnosis? I think it can be used to plant suggestions, but cannot make you some zombie to be commanded. I've read a book or two about it, but I'm iffy on past life regression through hypnosis. It is an interesting proposition and would need further research on my part.
Karma: I fully believe in Karma, that positive actions return positive action upon you. I don't know if I believe it in the Hindi or Buddhist sense. That being said though, the new age sense of Karma isn't that far of a mental leap, as people react to your positivity in a real time sense. In the longer run, I do think there is retribution for negative acts down the road, but I can't articulate how, when or why.
Divination: I somewhat buy into the concept of divination, but the tribal traditionalist sense seems like such a run around to something so much simpler and more direct like a psychic. Although the truly talented psychics you might say are diviners of truth and, in a way, draw on aspects of divination.
Here are some other ones from this page,
New Age - Wikipedia, the free encyclopedia
Age of Aquarius/2012: I truly have no clue. It's a nice fantasy to think there will be a world wide awakening, but I can't say. I've reviewed the evidence of 2012 and while it is an ending date for the Mayan calendar, there seems to be little evidence to indicate anything world changing happening. In general I do think many people are moving this direction, but then I see thousands upon thousands that just don't have the slightest clue and are still trapped in their old ways.
Astrology: I do think there is some truth to astrology, but I would never base my entire life around it. I would also be very reluctant to take it at anything more than face value. As a tool to understanding yourself it may be helpful, but no more so than deep introspection.
Teleology: Yes, I fully believe that everything is connected and that, to some degree, the future is preordained for us. The key is really trying to find that path for ourselves. Yes, there is a purpose for you and discovering that purpose should be paramount to your life. Coincidences are usually not coincidences, although trying to sort through the important ones and the silly ones can be difficult.
Indigo Children: I believe that there are special people or children out there, but I think this term is subject to abuse. Furthermore most new age philosophies buy into the idea that we are all special, so either "special" isn't the right word or it's simply trying to classify children with certain abilities. Part of the problem with this term is that it's so vague when people try to define it. Well how do you tell your child is an Indigo? How is that actually "special" vs everyone else?
Homeopathy: I think this is placeo effect at work, which is a powerful and valid effect. However, the concept that dilution of a substance to the point where it no longer exists in the dilution is scientifically absurd. Until there is even any shred of proof for this I have to chalk it up to placebo effect.
Reiki: I think there might be something to this, but it could be again placebo effect. I've never personally done it so I can't say.
Accupuncture/Chiropracty: Both placebo effects. Accupuncture has been shown to be equally effective when you use random points. And there is no scientific evidence that you can manipulate the spin in a permanent way through contorting the body. Chiropracty can actually be dangerous and no one should ever have their neck cracked.
Most of the new age practices are heavily placebo effect, which I don't think is necessarily a bad thing, but people should be aware of the science behind these things.