We are very lucky here at Levi Park with a bus stop for bus route 281 just across the oval.
You can also take a ride on the Adelaide O-Bahn which is a very fast ride and a very unusual way to travel. https://www.adelaidemetro.com.au/Timetables-Maps/Special-Services/Adelaide-O-Bahn
Adelaide also offers a number of Taxi services.
Adelaide Independent Taxi 132211
Suburban Taxi 131008
Yellow Cab Co 132227
Your other option is to take the walking track along the Torrens River into the city. This is approximatly a 5km walk.