Passwords (even strong ones) aren’t as secure as they used to be. To give your accounts an extra level of security, enable two-step verification. The process usually involves entering your password, followed by a temporary PIN (sent to your mobile phone).
Here’s a short list to get started (many others offer the service). Enable two-step verification wherever you can, especially with important accounts (e.g. banking, email, etc.)
Lifehacker also has a great list of popular services that offer two-step verification.