https://78.media.tumblr.com/095a1f36bca41627521e6e1f57def6b5/tumblr_p1xsbhgLFo1v8k7elo2_1280.jpg
https://78.media.tumblr.com/571731adc7dacfe32699048c1cc8c3be/tumblr_p1xsbhgLFo1v8k7elo3_1280.jpg
This one will give your Sims the autonomous action "react to cute moment" in their queue.
The also fight/haggle over food:
https://78.media.tumblr.com/07354b1b5c3b3e1c984a69f86ed25446/tumblr_p1rrla6DUM1v8k7elo2_1280.jpg
And play:
https://78.media.tumblr.com/d20eb5628991cef5e9b764eb4d495f8f/tumblr_p1ot9d1wok1v8k7elo3_1280.jpg
https://78.media.tumblr.com/340d35b9af39b1b3a224f3786b620781/tumblr_p1ot9d1wok1v8k7elo4_1280.jpg
https://78.media.tumblr.com/e3b6078bdca1a4a5b1f8cd1d8ea05f0e/tumblr_p12olcOSvl1v8k7elo2_1280.jpg
https://78.media.tumblr.com/8aaa4038f7521bcefafe746e53243688/tumblr_p070fmvxCw1v8k7elo3_1280.jpg
I don't know if this one counts a chasing, but you could say it is:
https://78.media.tumblr.com/4ed5af38248621bd5d6a1057332f9bc0/tumblr_ozoaolNirg1v8k7elo2_1280.jpg
This one is clearer though:
https://78.media.tumblr.com/615ae99136e4d820e4686d59bc212777/tumblr_ozoa3vRFVy1v8k7elo2_1280.jpg
They might also be able to get into fights together. Although I have not seen a cat an a dog fight - I have seen two dogs and two cats fight each other though.
