In this work, compotes, juices, and jams were produced using chokeberry, cherry, apricot, peach, apple (Idared and Champion), wild strawberry, or raspberry fruits. The anticholinesterase as well as antioxidant activities of fruits and preserves (freshly prepared and after 1, 5, and 10 months of storage) were compared. The loss (p < 0.05) of the anti-acetylcholinesterase (AChE) activity of freshly prepared products vs. corresponding fruits was observed (all preserves from raspberry, cherry juice and jam, apricot juice, and Idared and wild strawberry jams) while chokeberry juice and apricot compote increased the anti-AChE activity. In the case of the anti-BChE activity of freshly prepared products, no change (apricot juice and jam), the loss (chokeberry compote and jam, cherry juice and jam, Champion compote, p < 0.05), or the increase in the activity (peach and apple Idared, apricot compote, juice, apricot compote, raspberry juice, p < 0.05) were recorded. In most cases, the anticholinesterase activities of freshly prepared products vs. products stored for 10 months were retained, and no considerable losses of the biological activities were observed. Even after 10 months of storage, all of the preserves retained the anti-AChE activity (except apricot and Idared compotes, chokeberry, cherry and Idared juices, and chokeberry and apricot jams, p < 0.05). Similarly, the preserves retained the anti-BChE activity after 10 months of storage (at p < 0.05, except cherry, apricot, peach and Idared compotes, chokeberry juice and chokeberry, peach and raspberry jams, at p < 0.05).