There are several fusion reactions under investigation for fusion reactors. For tokamaks, deuterium (d) and tritium (t) will be required for ignition. If a sustained fusion is achieved deuterium burning d+d will occur, generating either t+p (H1) or He3 + n. He3 + d is a nice neutron free reaction, but requires higher plasma temperatures than d+t. Finally Be11 + p --> 3 He4 has been discussed as an aneuronic (no neutrons) reaction. That might be a great source for a z-pinch--if you use a Be11 wire in a chamber where the walls are coated with hydrogen the you can get a "pure" pinch with no high z impurities.
What about lithium? Technically lithium does not participate in fusion, since all the resulting particles are lighter than the lithium. (Yes, this sort of applies to the Be11 reaction above as well...) However, many operational fusion plant designs use (high energy) neutrons in Li6 + n --> He4 + t, to "breed" tritium. (And use up the neutrons from d+t and/or d+d). Can you get enough tritium that way? Good question. Since d+d yields 50% tritium, getting some d+d burning becomes a necessity. Li7+p --> 2He4 is another aneutronic reaction, but the relative cross-sections favor Be!+p instead, or He3+p, if you have a source of He3
Please remember that in a working fusion reactor, the actual reaction will include just about anything possible. Even with d+t which is requires relatively low energies, the actual plasma will have some twists and pinches where most of the t+d reactions occur, along with d+d, He3+d, t+t and t+p. (The He3 comes from the other 50% of d+d reactions.)