ED/cont + blight MoM trickster:
https://www.pathofexile.com/forum/view-thread/1717015
The build playstyle may not be for everyone, look it up first. Build is very cheap - you need only spell damage on your dagger (attack speed is nice, cast speec/mana/mana regen/other stats are optional) and spell damage on shield. The rest is life/mana/resistances, spell damage on jewelry is nice but doesn't add much. Your damage comes from allelopathy gloves +2x spreading rot for blight and links+gem level for ED. Grab a white 6link and alch/scour or essence craft it for budget 6link and add empower 2/3/4 to your 5link setup depending on your budget. Killed shaper with it last league as starter, now it's buffed. It doesn't have crazy dps, but it's very safe and reliable.
Instant leech BoR BF Champion/Berserker:
https://www.pathofexile.com/forum/view-thread/2050203
Played it last league with few ex budget, reached 1.6mil buffed shaper dps. You need Bloodseeker for instant leech, then BoR for your gem setup and big dps. If you push hard early it is ~50c in first hours based on abyss history, it will be like 5c after first few days. Then get some flat phys on jewelry/gloves and stack life with resist capped. This build abuses shaper sceptres and the Gain X% of physical as extra elemental damage mod. ~60% extra as elemental with 27% crit multi was 1-1.5ex in abyss and provide crazy dps boost, but some cheap unique offhand should be enough to kill shaper if you know what you are doing. You can always buy a ilvl 80+ shaper sceptre and spam alternations to get at least one 30%+ and craft 27% crit multi. Champion has some question marks about mechanics, but im convinced it works as we think and this build will have more dps and more survivability than last league zerker. I'm going with this build as my league starter this time.
I can answer questions about these 2 builds if you have any before league starts.