[FredZarguna]

Whether a particle is a boson or fermion is simply a description of whether the state vector of a system composed of two such particles is symmetric or anti-symmetric when those particles are exchanged. So systems of multiple bosons remain bosons, as you say. But systems composed of multiple fermions can be bosons. The neutrons and protons in helium (⁴He) form a bosonic atom even though the particles individually are fermions (essentially, two fermionic systems, and just as -/- and +/+ = +, and -/+, +/- = - in algebraic multiplications, systems of even numbers of fermions can be bosons, and systems of mixed odd numbers of fermions and bosons can be fermions).

But fermions and bosons are not fundamental particles. This is just a description of the symmetry and statistical laws they obey. The particles we have are the quarks, leptons, and gauge bosons: photons, gluons, gravitons, W/Z particles. Combinations of quarks and combinations of leptons can be either bosons or fermions. The gauge particles -- which mediate energy or "force" are all bosons.

[HiTech RedNeck]

That’s why I said curious particles, not fundamental ones. The fact they can and do glom together (scientific term) to do the things they do, is itself a wonder. And the panoply of atoms is hardly infinite — there are what, maybe eighty elements (plus their isotopes) that figure significantly in the operation of the world as we know it? The others being mainly laboratory curiosities? Some see chance, I see wisdom.