In recent years many new (and some very traditional) forms of reflective and participative worship have spread into mainstream church life. From Celtic liturgies and Taizé chants to silent or guided meditations, or using music and dance, art and sculpture, worship is expressed in very many forms. And many of these spiritual activities are actually more accessible to not-yet-Christians than a standard hymn-prayer-lecture sandwich. There are many websites offering more information on this topic. I do not necessarily agree with everything they say, but here are some good places to start.
http://www.alternativeworship.org/
http://www.prayerscapes.com/lord_prayer_music_links_alternative.html