Anemones, actually, are among the highest light demanding animals, that we keep in our reef tanks. Many anemones have the same high light needs, as Acropora coral and clams.
When trying to decide what your lighting needs are, it's important to first decide what types of animals you'll want in your tank, how deep your tank is, how you want to suspend or attach the lights, how high lights will be, off of the water, etc. Other things you'll need to take into consideration, is heating/cooling issues, created by some types of lighting.
Some things to think about. If you want "shimmer," you'll need a "point source" light, such as MH or LED. With fluorescent lighting, it's much harder to achieve a shimmer effect. However, you can still get shimmer, by simply adding a couple of clip on LEDs.
Depending on the depth of your tank, 250MH or T5HO will usually allow you to grow anything you want. I'm not too familiar with LEDs, so can't really comment on it much. However, it does seem that most people are having better results, with DIY systems, than manufactured systems. DIY can save you A LOT of money, as well.
MH lighting will create a lot of heat. Depending on the temperatures, in your area, and in your home, a chiller may be needed, in the summer months.
With all of these lighting sources, quality reflectors are very important.
Since there are many quality reflectors available, for MH systems, I'll only comment on T5HO reflectors, as they really do matter.
With T5HO, there are basically 2 types of reflectors. Parabolic and ICR.
Parabolic reflectors are flat, or slightly curved, and you have a single reflector, above all your bulbs.
ICR (Individually contoured reflectors) come in a few different types, but they all result in a high quality reflector.
Single reflector, bent around each individual bulb.
Individual reflectors, that are contoured to bend around each bulb, and then welded together, to create one reflector.
Individual reflectors, that are contoured to bend around each bulb, above each bulb.
With T5HO, ICR is critical, as the reflector style is a huge part of the success of T5HO lighting.
With all lighting, having a quality ballast is also very important. A lot of 'off brand' fixtures that are found cheap, on Ebay and such, are made with inferior ballasts, that actually under power the bulbs.