Translation:We like birds, but we also like turtles.
You may be thinking of, "Mi piacciono uccelli..." which translates to "Birds are pleasing to me."
In contrast, "Ci piacciono uccelli..." translates to "Birds are pleasing to us." "Ci" can only mean 'to us' in this example, and as you can see 'ci' and 'mi' function as very different pronouns. Hope this helps!