Aquatic plants to avoid include:

 Parrot-feather Myriophyllum aquaticum
Native to South America, has naturalized
worldwide escaping from water gardens and fish tanks.

Giant salvinia Salvinia molesta
This highly invasive plant has caused millions of dollars worth of damage in many countries around the world.
Also Avoid:
Water thyme Hydrilla verticillata
Mosquito fern Azolla pinnata

Yerba mansa Anemopsis californica
Lush, fragrant, deep green leaves and unique white flowers in spring. Dormant during cold months, leaves turn shades of red. Thrives in damp soils and is salt tolerant.

Yellow Columbine Aquilegia chrysantha
Attractive perennial herb. Blooms Spring and Summer. Likes shade and can be found at many plant nurseries.

Cardinal flower Lobelia cardinalis
Bright red flowers cluster on 3 to 5 ft stocks in mid Summer. Grows well in shady damp places. Cardinal flower is a favorite hummingbird plant.

Also Try:
Horsetail Equisetum laevigatum
Floating Marsh Pennywort Hydrocotyle ranunculoides
Common Monkey Flower Mimulus guttatus