Are you looking for something that is a full meal, or a rice dish meant to be an accompaniment to the other dishes? IT sounds like the latter.
If the latter, just cook the rice in chicken broth, then toss with a lot of fresh herbs after cooking (if all you have is dry herbs, put them in the cooking liquid before-hand). Particularly good in the cooking liquid before is thyme. For fresh after the fact almost anything goes, but lots of fresh parsley, sage, mint, lovage, burnettte, parsley (yes, I know I'm repeating myself). Nuts and seeds at this point are good, off the top of my head, slivered almonds or sesame seeds.
For a little bit of an edge, but not too much for most, you can put some chunks of fresh ginger in the cooking liquid, then pull them out before serving ... you'll get some ginger flavor without anyone actually biting into a piece, which might put some conservatives off. The ginger will compliment the sweet dishes As others have suggested, try jasmine or basmati rice for a different flavor without it being "too much".
Lots of green onions (scallions) or chives after cooking -- or better yet, both.