Welcome to the board, Bob! I have Asian hair too and I've tried a few different brands of dye--Hydrience, Garnier 100% Color, Ferria, Herbal Essences(sp). Out of all of them I've found that Clairol's Herbal Essences(sp) showed up the best on my hair. The red shades made a noticable change in my color. Can't speak for the other colors, though.

Henna might be another option. I haven't tried it myself, but here's a couple of links you can check out. Mehandi and Henna for Hair.

HTH!

I'm trying to achieve a shade that will lighten my hair a shade but with a more reddish-brown tone. The one juri described sounds great, if u could get the color name or number that'd be great! thanks a lot for ur help guys!

I went on to clairol's website and discovered that they changed the product lineup and got rid of one of the shades I had used.  Anyway, I was able to find two of the three: Radient Ruby--deep red--and Plush Plum--more of a burgundy, I think. I don't remember which shade showed up the best, but you can look at the site and decide which color you like best. When I was dyeing my hair red I was going for a deep red color, and I know you're looking for a red-brown color so you might want to try a different shade from what I listed.

Forgot to say this, since Herbal Essences is a permanent dye, it will dry your hair.

ETA: Depending on how thick your hair is, it might be a good idea of have a second box of dye on hand. When I had shoulder length hair, I barely had enough dye towards the end.