heres a budget ninja deck but still very strong
i.g. jioh, green ninja and books face down your opponents monsters and dancing leaves tribute them. sometimes green is also so good for flip face up your own ninjas.
mitsu and digger combo: destroy 1 card with digger by banahing 1 ninja monster, special summon great insect get (comeback win with Great Insect: https://youtu.be/NHwI_VErJIQ, back a banished ninja and with a face up field spell you can raigeki.
going first i switch green ninja, duplication, (yellow ninja against labyrinth), barrier and virus (tribute meizen)
hanzo is the best starter, normal sum add dupli into 2 tobari and 1 mitsu (negate) or green (face down) into meizen or yagura
if possible special sum hanzo with tobari add baku get back tobari. sum saizo add digger use itsself get back hanzo and normal sum (see above). with a mitsu or green on hand you can special sum them and use them or 1 of them + saizo for meizen.
alternative tobari + hanzo add kagero set tobari, special sum bagooska.
upstart + tobari + 1 trap otk combo: special upstart with tobari. send trap to gy, special hanzo add mitsu. special saizo set iron digger, activate iron digger banish hanzo pop digger add hanzo. normal hanzo add ninjitsu mistery, activate mistery get back digger and ss a ninja from deck. ss cross sheep for saizo and hanzo. ss mitsu from hand. ss meizen activate cross sheep, ss hanzo add baku and special baku. special sworddragon for baku hanzo and sheep. iron digger on sworddragon and otk.
going sec i play evenly, coh, harpie (depends on oppenent) for 1 jioh kagero iron digger and the moons.
check the youtube link there is an otk combo with cross sheep into sword dragon: https://www.youtube.com/watch?v=_mOdTrEUjRU
https://youtu.be/noNPsTFrVyg
3 Nibirus would be a nice upgrade for 15 $ also appolusa ~ 7$.