Reposting this as the news portion of our website is down, and without checking the comments of the previous thread you couldn't see that info!
Edit @ 20:15 GMT: Work is still continuing to restore our login services - we have no significant milestones to report just yet, but good progress is being made. We hope to have more substantial news to share soon.
Edit @ 20:40 GMT: We are happy to report our login servers are now coming back online and all services should be restored as normal.
We'll continue to monitor the situation going forward.
We thank you for your understanding and patience during this period and apologise for any inconvenience.
Edit @ 21:43 GMT: It appears some users were experiencing problems logging into OSRS Mobile via Google Play/Game Center accounts. This should now also be resolved!