Alert systems that work in power outages?


Hello! I've been looking on the Internet for a visual (lights flicker on and off) and tactile (bed shaker and vibrating pager) alert system.

I'm a bit lost what brand or package I should get. I live in an apartment so my abilities to tinker with the unit's electrical system are nil. Which means plug-in or battery operated alert systems.

I'm especially interested in a system that will work when the power goes out.

I'm in Canada but can purchase worldwide if need be.

Does anyone have recommendations what I should consider for alerting me to doorbell, telephone (yes we still have landline, lol), smoke detector, building fire alarm?