The post above suggests Humanism, quoting "Think for yourself. Act for everybody". Which is pretty much Buddha's advice. Buddhism in ten words could be "Be happy. And kind. Cherish all biodiversity. Think for yourself".
Buddha also said "Do not worship me, or my words. Think for yourself" And "My thoughts arise in my time, and in my place, not yours. Think for yourself"
Arguably, anyone worshipping Buddha is not following Buddha's instructions. Nor is anyone 'religiously' studying his words, and his thoughts.
Perhaps anyone can inadvertently 'be Buddhist', while also being any other religion, or being Humanist, or having no religion. There are many overlaps. But having the first aim of "Be happy" is one rather startling to any of the mainstream religions:
Many are eager to put service (to men, church, house and children ) as the sole purpose of women's existence .
"Be kind" fits with any other religion, and is evidenced to be a part of being happy.
Humans everywhere and of all faiths and none, really should have paid much more attention to "cherishing all other life forms". We have made too many extinct. Britain is the most biodiversity -depleted country of all. Buddha and the Jains concentrate on that. Again, being a non-killer is in any case part of "being happy".