You could Hire a car for a few days Karen And take the coast road down to Paleokastritsa, Stop off at Bela Vista fabulous views, visit the monastery and take a boat around the caves.
Drive down to Pontikonisi and take a walk along the causeway and watch the planes come over your head as they land, then take a boat out to mouse island.
Visit Achilion palace, just drive and take pot luck the fun is stopping and visiting the little villages
We had a wonderful day with Phil and Jen some years ago driving down the west coast visiting Paleo and Pelekas then switching over to the east coast to Messongi, Benitsis, Achillion palace, through Corfu Town and back via the coast road to Afionas
We hired a quad and had a fab day visiting Kassiopi Roda Acharavi Peroulades and sunset beach.
If you want an adventure take a trip over to Albania and do the trip around Butrint long day out but we enjoyed it
Hire a boat for the day and take it down to Paleo (pretend you're Pirates) just imagine eyepatch, hook for a hand and cut throat sword...... on second thoughts don't do the dressing up bit.
Check out
http://arkokal.gr/excursions.html Arkokal opposite Whispers bar
http://www.olgastravel.net/#!excursions/cl58 Olgas opposite Akti Hotel
Arillas Travel offer the following Arillas Travel opposite the Coconut
EXCURSIONS
* Island bus trip with tour guide from Corfu Town.
* Boat trip to the island of Ericoussa & Mathraki.
* Boat cruises in the Ionian Sea.
* Pantokrator (the highest mountain in the Island).
* Jeep safari to the Pantorkator mountain.
* Sidari
* Kanoni and Achilleion.
* Corfu Town in the morning.
* Corfu Town by night.
* Greek night.