Both browsers have received a bunch of fixes and performance enhancements in the last updates. See the change logs for both browsers below:
Chrome Beta for Android:
- 263870: History search textbox disappears when search term is deleted
- 273763: auto complete in Omnibox not functioning properly with gesture based keyboards
- 283616: After Chrome update, Swype enters double words when touching space bar, delete with backspace word reappears
- 280717: Chrome on Android should only enable accessibility for "real" accessibility services
Known issues:
- 274432: [Tablets] First suggestion is auto selected when we scroll the window upward
- 289768: [Android] Mobile Gmail compose page email fields do not work with Swype 3.26.*
- 276550: A bit of first letter of an URL in omnibox is cut.
Opera browser beta
- Chromium upgrade to version 29
- Compression method change in Off-road mode
- Improvements in download manager
- Improved NFC communication
- Various stability and performance fixes
Source: Google Play Store