Almost all third-party browsers on the Play Store wrap the Android WebView, which is vulnerable. You'll need to use a browser that includes its own rendering engine, such as Firefox, to remain secure.
The Android WebView uses since quite some time the same rendering and javascript engines as Chrome. Thus I would expect third party browsers to be no more vulnerable with regard to this bug than Chrome.
Edit: since 4.4 [https://developer.chrome.com/multidevice/webview/overview]