Objectives: Deficits in psychological functioning, cognitive functioning, and sleep are frequently experienced by individuals who have survived aneurysmal subarachnoid haemorrhage (aSAH). Exercise has been shown to improve these domains; to date, it has never been explored in patients following aSAH. The aim of this exploratory study is to compare the effects of an exercise programme in this population with another patient group, and a group of healthy controls. Methods: The present study explored the effects of 12 weeks of moderate aerobic exercise training on 15 aSAH patients, 16 meningioma patients, and 17 healthy controls. Data on symptoms of depression, hypochondria, perceived stress, satisfaction with life, verbal learning and memory, and subjective and objective sleep, were gathered at baseline, following intervention, and at 6-month follow-up. Results: aSAH patients and meningioma patients had decreased symptoms of depression and insomnia at follow-up. While perceived stress decreased in the meningioma group, in aSAH patients it increased. Total learning performance increased in all three groups. Conclusions: An exercise programme had a positive effect on symptoms of depression, insomnia, and verbal learning in patients following aSAH. No positive changes in other domains were observed. This may be due to the cautious approach taken with regard to exercise intensity.