Same problem here, on Nexus 7 (2013) with Android 4.3.
Version info: ABP 1.1.2 build# 253.
Tablet is rooted, proxy configured... and then all HTTPS traffic dies, Google Play Store app included.
Chrome for Android reports "ERR_TUNNEL_CONNECTION_FAILED".
Other browsers and apps give nothing but network errors when using https.
HTTP traffic is fine, but obviously that ain't enough!
To top it all off:
- ABP can't update its Filter subscriptions, I guess these use https too?
- ABP website is inaccessible from Android device with ABP running, because the site enforces https...!