[Galaxy S III Original Android Development] curiousrom:
The Best Browser for S3 i9300 LIneageOS?

"Nice, you have done a lot." - To quote a famous person: "Press Thanks! Button, if i've helped you ...." ;)

"...suggest some BEST browser with ad blocking..." - Everything is relative. It depends on your setup, browsing habits, taste and trade-offs sync, UI, etc & if you have a system wide ad blocking like AdAway.

The best browser is the ever repeating question with thousands of different opinions:

What is the best browser site:xdaforums.com

What is the best browser i9300 site:xdaforums.com

Google search best android browser

Google search android browser benchmark

Etc, etc...

IMO every user in this thread has excellent reasons for recommending his preferred browser. It all depends on your criteria.

Why do you insist on a browser w/ an integrated or addon ad blocker? If your phone is rooted (it should be IMO) & you read posts #1, 2 & 5 of the thread I linked to in the post above: [GUIDE][COLLECTION] All About Ad-Blocking then download & install AdAway and this is what I see in these screenshots Puffin web browser vs stock LineageOS 14.1 Jelly browser 7.1.2 both w/o an ad blocker (Puffin has a built-in popup blocker):

Why Puffin? Check the benchmarks here: Need for speed – What’s the fastest Android browser?

My Puffin privacy setup & limited IP connections: Home page > Speed Dial > 3 dots > disable News feed (I choose my news source, thank you). Top right > 3 dots > cog > Data saving Off. Many people like to use the Puffin servers for the Data saving feature that enables > Advanced > Streaming quality & Image resolution tweaking (attachment). It's encrypted & has an excellent reputation.

Kill Puffin & remove from Recents. Then AdAway > Settings > Log DNS Requests > Delete log file > tap TCPDUMP is not running! to enable logging > start Puffin & don't surf > go back to > Log DNS Requests > Open log file > press the DNS requests just made by Puffin one by one and Add to your Blacklist. That's it, Puffin won't be able to receive calls from the mothership anymore. Settings > Personal > Privacy > Privacy Guard > Puffin > tweak to taste. Same for Settings > Apps > Puffin > Permissions.

You could do the same w/ CM Browser or any browser for that matter.

This said when I want clean, fast & simple I often use the LOS stock browser. I like the tap on Recents button feature to switch tab or kill some or all to quit the Browser. It's also nice to be able to flick through them to get a large preview of a given tab. (attachment) Here is a short review & a couple of benchmarks comparing Opera Mini, Lightning Browser vs. LineageOS Jelly browser.

If I need to sync w/ desktop for not often use bookmarks & passwords it will be Firefox or Chrome.

I have yet to try those except for Firefox. I have been a fan for many years but when in LOS I opened a few pages in it vs. same pages in stock browser, stock was faster to my surprise. I use uBlock Origin w/ it but may try w/o because AdAway to see if it improves speed.

I tried Fastest Mini Browser tx for the suggestion. It's very clean & fast and pings only 3 DNS which can be killed w/ the AdAway trick above.

Edit: Running the http://html5test.com test the score is identical (501 out of 555) to the stock Jelly browser & it is also using the LOS built-in Chromium WebView 63. Also discovered the built-in Block Ad with selectable Off/Block Ad/StrongBlock levels in the hamburger menu.

"The Google Go apps don't show up in my S3-Playstore..." - Maybe they are not deployed in your region yet. You can download few Go apps in https://www.apkmirror.com/

[YOUTUBE]XmOERB-WqQU[/YOUTUBE]

If waiting for Oreo on S3 read recent post by S3 LOS 14.1 dev forkbomb444 here.

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