As RTM said, Opera Touch does not have bookmarks. Supposedly My Flow feature is modern substitute, but IMHO My Flow is next to useless. The lack of bookmarks is the "kiss of death" for me. I am still using Opera on the desktop, but I have un-installed on my mobile devices (I actually use MS Edge on my iOS -- go figure; Microsoft is actually innovating).
@ultravio1et I know it's a bit of a hassle, but you can get to your bookmarks (read-only) by 'starring' https://sync.opera.com/
This will give you a direct link from the new tab page to your bookmarks, but you won't be able to edit them in any way.
@leocg This is is exactly what I came to the forums to ask. 1Password uses iPhone's Services system. It means even Google Chrome makes it easy to use. But Opera's Touch interface doesn't make that button available. I'd even be for native 1Password support. Otherwise I have to use unsecure ways of inputting passwords. I'm trying to use Opera more regularly, and this is my biggest stumbling block.