Our best experience that we had in Fiji was visiting a Fijian village. I won't tell you which one, we went to but it was amazing. The family we visited spent an entire Saturday sharing their culture. We had lunch together and my wife partook in the Kava ceremony. The Kava ceremony was unlike anything you will see in town or at a resort. We were invited to the village after visiting with local Fijians on their own turf for three days. If you want to experience a true Fijian village this is the way to do it, not through paying a resort to take you to an acting village.
If you go make sure you talk to your friend who is inviting you into the village about appropriate dress and what you need to bring. The family asked for nothing but I wish I would have brought a proper gift (instead I donated $50 FJD to the family which is a lot, but for the experience I got it's nothing). If you are going to bring anything, bring something practical. The village may or may not have electricity. Many children do their homework by candlelight in the small villages.