This is a tough question because of varying micro climates within similar geographic areas, but the different types of lily bulbs do tend to behave similarly. The hardiness zone for an area is just a general guideline, many gardeners push the zone rating and are able to grow "tropical" in places where they would not survive otherwise.
Individual lily cultivars are discussed from time to time tagged as Garden Review. Feel free to comment and add any information you might have to help other gardeners.
A Brief Overview of the Different Types of Lily Bulbs
Asiatics perform wonderfully in full sun or light shade in all areas, even in very cold climates of USDA Zone 3. They also do well in most areas of the South, but prefer more winter chilling to reset the blooms. Soil pH is usually not a factor, they grow equally well in both strongly acid and alkaline soil.
Oriental lilies like cooler summer temperatures and so need to be planted in afternoon shade or all day dappled light in hotter climates. In mild climate summers, where the average temperature doesn't usually exceed 90 degrees during July and August, Oriental lilies do equally well in full sun or light shade. No winter mulch is required if your climate is warmer than Zone 6, and they are very happy all the way up through Zone 9.
OT, Orienpet and Oriental-Trumpet Hybrids (all the same, just different descriptions) are lilies that have some Lilium henryi and/or Trumpet lilies in the breeding line. They are more heat resistant than purebred (or regular) Oriental lilies and tolerate alkaline soils better. They can take full sun in most areas and are not affected by the occasional 105 degree heat blast, but the flowers will last longer on the stem with afternoon shade if it is over 100 degrees most of the summer.
Purebred Trumpet lilies (not bred with Oriental lilies) do not need as much winter chill as other types of lily, can be grown well in Zone 7 to 9b, and are pretty heat resistant for the south. The stems can be damaged by deep freezing or heavy late frosts in the Midwest after the sprouts have emerged.
Species lilies (Lilium) have varying requirements based on the geographic area where they originate. Our Knowledge Base of Lilium species found on our main website will give you an idea of their vast differences.