Below are some recommendations on container planting that work well in most spring and summer climates in the US.
Intense Heat and Sunny: Do you have an area that gets hit with the hot afternoon sun? Plant varieties such as vincas, peppers, and potato vine.
Sunny: Many plants need 6+ hours yet can't handle the intense afternoon heat. Try petunias, tomatoes, verbena and daisy varieties.
Partial Shade/Partial Sun: Don't limit yourself just because the area only receives 2 to 4 hours of direct sunlight. Plant coleus, ferns, and many herbs (mint, cilantro, parsley).
Full Shade: For areas completely underneath the patio with no direct sunlight, try succulents, hosta, brunnera, and herbs (rosemary, parsley, spearmint).