Something like this should do it:-
SELECT a.Name, GROUP_CONCAT(YEAR(DATE_ADD(a.start_date, INTERVAL b.aNum YEAR))) AS activity_years
FROM person a
CROSS JOIN (SELECT a.i + b.i * 10 AS aNum FROM integers a, integers b) b
WHERE YEAR(DATE_ADD(a.start_date, INTERVAL b.aNum YEAR)) <= YEAR(a.end_date)
GROUP BY a.Name
It relies on a table of integers with a column called i, with the values 0 to 9. It joins this against itself to get a range of numbers from 0 to 99, so copes with date ranges that far apart.
Removing the subselects to use it in a view
SELECT p.Name, GROUP_CONCAT(YEAR(DATE_ADD(p.start_date, INTERVAL (a.i + b.i * 10) YEAR))) AS activity_years
FROM person p
CROSS JOIN integers a
CROSS JOIN integers b
WHERE YEAR(DATE_ADD(p.start_date, INTERVAL (a.i + b.i * 10) YEAR)) <= YEAR(p.end_date)
GROUP BY p.Name