@turtleshroom, I think it's possible to backup an app in iTunes. So you can probably save your Opera Mini installation on your computer and then restore it on some newer iPhone (with at least iOS 7). Then you can upgrade this Opera Mini 7 to recent version. Bookmarks and Speed Dials from version 7 should be preserved when upgrading to new version. Then you can set up sync to get your bookmarks uploaded and once it's done you can uninstall Opera Mini on iPhone and set up sync on your new Android phone.

If you're kind of a hacker, you may try to download Opera Mini app data from you iPhone and extract the file with bookmarks. Then find and install Opera Mini 7.0.5 on Android. Then you need to find a file with the same filename as previously extracted from iPhone and replace the file. I'm not sure if it will work, but if you have some spare time then just try and I wish you good luck:)