For nations with diverse migrant populations, such as Australia, quality ageing presents challenges. This study examines the perspectives of three generations of Greek migrants in South Australia regarding the role of the family in providing care for older family members. Interviews were conducted with 15 first-generation Greek-born migrants (aged 76 to 91), and surveys were completed by their children and grandchildren. Most participants agreed that adult children should care for their ageing parents and generally rejected support from external service providers. However, expectations differed between generations, with older migrants preferring daily contact and active involvement, in line with Greek cultural norms or “care-scripts,” while their adult children often resented the time and emotional demands of such care. Many older migrants were unaware of support services, and even after being informed, believed these were not appropriate or necessary. These findings highlight cultural and generational barriers to service use and reveal how care responsibilities can affect the well-being of both carers—particularly women—and care recipients.