Why you should trust me - I play a ton of Anubis conquest and have a 60%+ win rate.
You're going to want to build as much lifesteal as possible. AS MUCH LIFESTEAL. For the fools who don't build Divine Ruin to counter you, or build it as their 3rd item or later, it's usually a free win.
For your 4th item (starter inclusive), buy divine ruin if against a healer. If not, buy some pen either by going with Charon's Coin or Spear of the Magus after finishing Chronos' Pendant.
As Anubis, your early game is extremely strong, however, if you don't get your kills, you can struggle late game. This is because most of your abilities, such as plague of locusts and death gaze, leave you vulnerable in group battles, so you may have to play more cautiously late game.
As a combo use mumiffy --> plague of locusts early game. This deals much more dmg than mumiffy --> grasping hands. If your ult is ready, try using mumiffy --> death gaze as close to the opponent as possible, as they will likely use beads and aegis to try and sneak away, and the ult is much easier to dodge/deke from afar.
Buy purification beads first, and aegis second. However, if you are way ahead, you can use blink rune to keep up with your enemies, which can be extremely helpful if an enemy is trying to escape and you have your ult or grasping hands ready.
Sacrificial shroud, Bancroft's Talon, Typhon's Fangs, Rod of Tahuti are must builds. Divine ruin and Chronos pendant can be substituted with Spear of the Magus or Charon's Coin. Many Anubis lovers like to build Spear of the Magus, but I find it to be overrated - a third/fourth (including starter) lifesteal item is extremely weak, especially as by that time the opponent has likely built divine ruin.
Y10 Bancroft's Talon
PASSIVE - You gain additional Magical Power and Lifesteal scaled from missing Health. This caps at 70 power and 10% Lifesteal at 40% Health.
Y10 Typhon's Fang
PASSIVE - Your Healing obtained from Magical Lifesteal is increased by 15%. Your Magical power is increased by 1.5x the amount of Magical Lifesteal you have.
S9 Divine Ruin
PASSIVE - Enemies hit by your abilities have 40% reduced healing for 5 seconds.
Chronos' Pendant
PASSIVE - Every 10s the Pendant activates, subtracting 1s from all of your abilities currently on Cooldown. The initial countdown will not start until you leave the fountain.
Rod of Tahuti
PASSIVE - Basic Attacks and Abilities gain 15% additional Magical Power against targets below 60% Health.
You should be able to beat these gods quite easily
Free wins: Vulcan, Zhong Kui, Zeus, Olorun, Isis, Freya, Baron Samedi, Chronos, Agni, Morgan, Kukulkan, Hel, Merlin, Discordia
Zeus, Oloron, Isis, Freya, Chronos, Hel are just bad options all in all in the current Meta.
Easy wins: Ah Puch, Baba Yaga, Sol, Discordia, Tiamat, Poseidon
Experienced players can give you a tough time with these gods:
Scylla can easily escape your ult
Janus 1 + 2 is a pain of a combo. Also, as anubis, hard to keep up with his ganks to other lanes.
Ra will usually just farm and keep his distance. If he tries to engage by healing his gods, you should be able to win your lane.
He bo's knock ups 1 + 2 or knockup and ult are extremely dangerous.
Morrigan will transform into anubis. Plus, she can sneak up on you :(
Aphro, change, and nu wa's stuns can be a pain when trying to use your 1. Anubis generally struggles against healers in comparision to true damage gods.
Hera's ult is ridiculous and difficult to get close to opponent with Argus around.
Change can escape your damage too easily.
However, compared to how many gods Anubis is strong against, this is a very small list.