Opera Mini is arguably the best browser for Android 2.3.6. The final version that supports Gingerbread compresses data by up to 90%, making page loading fast even on 2G/3G networks. It runs smoothly on 256MB RAM devices.
: Many devices running Android 2.3.6 use older ARMv6 CPU architectures, whereas most Chromium-based browsers require at least Recommended Browser Alternatives for Android 2.3.6 Google Chrome For Android 2.3.6 Apk
If you are holding onto a vintage device (like the HTC Desire, Samsung Galaxy Ace, or original Galaxy S), the pre-installed browser struggles with: Opera Mini is arguably the best browser for Android 2
You may find old APKs for Chrome to Phone (version 2.3.3 or similar). This was an extension tool to send links from a computer to a phone, not a standalone web browser. : Many devices running Android 2
is the safest, fastest, and most usable option. For offline HTML content, Dolphin Browser 9.4.2 also works well.