from The Sunday Times, courtesy Ryanair.com - the low fares airline Official Site:
Ancona is situated in central Italy on the Adriatic coast
I thought I knew Italy well. (...) Although the region of the Marches was never on the agenda, I doubted I had missed much. Big mistake! Draw up a list of all those wonderful reasons for going to Italy and you'll find them in abundance in this barely known back garden sandwiched between the Apennines and the Adriatic. You could spend an entire holiday immersed in Renaissance art and architecture, or simply slobbing on Blue Flag beaches. Historic hill towns survey landscapes cut and pasted from the backdrop of medieval masters. There is a national park of mountains and a seemingly endless stock of historic palaces, classical gardens, nights at the opera and feasts of seafood and fine wine. But the most amazing discovery of all is that, unlike neighbouring Tuscany and Umbria, which suck in the crowds like dust up a Dyson, the Marches is almost a tourist desert. Most people haven't a clue where it is, let alone what it's got. (...)

Location Ancona is less than 70 miles away from Rimini. An express train service runs from Ancona to Rimini. This train departs from Ancona train station and the journey takes less than an hour. Ancona airport is less than 10 minutes by taxi from the city center and train station.

Bus travel: No. 9 bus from the airport to station every 30 mins.
Taxi: Available from outside the terminal building.