Well most LFS have the common coral like hammer head, frog spawn,open brain ,closed brain ,candy cane,Sun coral then you have the zoas and shrooms.Well thats the case around me.
Just because a coral is common or easy to get, doesn't mean it's easy to keep. I would venture to say that the Euphyllia's (hammer, frog spawn, candy cane) you mention require medium to high light, moderate flow and placement is important. All have stingers that will sting each other or other corals. Flow is important as well. The Tubastraea (sun coral) requires DAILY feeding of all polyps. The only animals in that list that can survive in just about any tank are the zoanthids and the mushrooms.
Acropora is a common coral too, but, unless the LFS is setup for caring for them, they are not brought in. Because of the expense in setting up a system to support them this is not usually done. Some will bring them in hoping to sell them before they croak.
Depending on the LFS to give you good advice is not always the best way to go. Far to many LFS sell a reef tank setup with NO flourescents, an undersized skimmer and a wet/dry filter and tell the customer that "they can keep anything we stock." The goal of the LFS is to SELL, SELL, SELL so the cost of the initial setup is kept down to make the sale.
The result of this type of sale is usually failure. The customer doesn't know why his corals died, he continues to bring water samples to the LFS for testing. More corals are bought, some live poorly, others die. Unfortunately, education is a last result, rather than a precursor. It's a shame considering that the internet is in almost every home. This customer usually gets fed up and quits the hobby, unless he happens to educate himself through books or forums such as Manhattan Reefs on the internet.
If this happens then, he'll more than likely come across a non typical LFS such as House of Fish who do educate and fully disclose the real costs of a reef tank. They educate the customer as to the husbandry techniques required to maintain a healthy reef system. By example, they have spent the money up front to build systems in their stores to support a variety of reef life. These are the stores that will get the long term business of hobbyists who continue to stay in the hobby after being burned by the typical LFS.