Here are some great (free) patterns for generic "Bible people." (PDF is at the linked site.) I like these people because you can add your own facial expressions as needed.
Or the students can add faces and color them!
A trick I learned using flannelboards in library storytimes - you can draw or trace the figures onto sewing interfacing - the sew-in (not fusible), non-woven kind - it is see-through enough for tracing. Then cut out the figures and color them with markers. The interfacing is lightweight and sticks well to flannelboard surfaces. (Figures on interfacing are lighter-weight than ones on paper with felt or sandpaper attached to the back to make them stick to the flannelboard, but those work, too.)
Daniellesplace.com also has a good "generic" Bible characters that you can purchase for a nominal fee and trace to use for flannelboard stories.