There are many superb walks in and around Brixham.
The South West Coast Path runs around Brixham and is a great way to see what Brixham and the surrounding area has to offer. It was originally created by coastguards, patrolling the south west peninsula looking out for smugglers.
The South West Coast Path itself is 630 miles long and is the longest National Trail in the country. Starting at Minehead in Somerset it runs along the coastline of Exmoor, continuing along the coast of North Devon into Cornwall. It follows the entire coastline of Cornwall, goes across the mouth of the River Tamar and continues into Devon. After running along the south coast of Devon it then follows the Dorset coastline before finally ending at Poole Harbour. We are not suggesting you walk all of it on your holiday!
Here is a link to the South West Coast Path website:
Personal recommendations would include a walk to Fishcombe cove and then on to Churston Cove where you might see Sammy the Seal! Also a walk up to Berry Head Nature Reserve and around the Berry Head peninsula, the views are stunning!
The map below shows suggested routes for the two walks.