Snowflake designs are easy options for people just starting out in the art of shuttle tatting. As of May 2015, the Tatted Treasures website has eight different snowflake patterns that the designer has listed in rough order from easiest to hardest.
Another easy pattern for people new to shuttle tatting is the pattern called the Celtic motif. This pattern is a little more advanced than other patterns because it involves two colors, but it is also possible to complete it with just one color. Several butterfly patterns are appropriate for beginners, and examples are available at RingOfTatters.org. In addition to butterflies, the website features an easy flower design and goes over the basics of edging.