The biggest (long-term) problem with modern entertainment on Mars is the travel time between Mars and Earth. However, it is only a matter of resources and energy to solve the remaining recreational issues, which should not be a problem for someone who has the money and technology to travel to Mars. Regarding food, it is already possible to print pizzas and hamburgers, so that should not be a major issue on Mars. Radiation and lack of oxygen are probably the biggest problems, but that has nothing to do with recreation, only survival.
Umm, no. Food and materials is a major issue.
The reason is that we need to look at Mars as having the basic elements from the periodic table that are necessary for life. Then we have to figure out how to remove them from the compounds they are in, and put them into the compounds that we need.
This isn't nearly as simple as it might seem. It might take 50-100 years. But after that is accomplished, then Mars is whatever we make it to be - within limits. It will still have a crappy worthlessly thin atmosphere, and it'll still be bitterly cold, with a weak Sun.