Here are the matches based on the descriptions provided:
- Probably the most famous amphitheater in the world - The Colosseum
- This type of column was used in Roman forums and courtyards - Roman Doric column
- A number of styles used in construction of the colosseum - Two
- The Romans neither understood or appreciated this column - Ionic column
(Note: The word "Ionic" seems to be misspelled as "Lonic" in your options, but it is meant to refer to the Ionic column.)