RayDog, I preface this with the explanation that I am a novice here. That said, I'm gonna go down the list with my reactions. I do this not to refute, but so I can understand where you are coming from.
The starlight problem - [Is the 2-3K background radiation in the microwave band, or is it just mixed spectrum 2-3K?]
The dark energy problems - What force is behind the accelerating expansion of the universe, and given such a force is a big bang needed to explain the expansion in the first place?
[Dark Energy fueled expansion is far weaker than any of the other four forces, and is not adequate to explain how matter escaped the gravity of other matter]
The dark matter problem
[Dark Matter is about 25%, but in any event, a refutation of DM requires a refutation of Relativity, doesn't it?]
The zero point energy problems - [ZPE is part of Quantum Mechanics, isn't it? I was unaware that SS was potentially the Grand Unified Theory, is that what you are saying?]
The singularity problem - [This would have to be a refutation of Relativity, not BB necessarily, right?]
The energy problem - [Singularities don't exist infinately.]
The matter problem - [I thought we have found examples of CP-invariance in nature. If that is the case, then this becomes a much smaller problem.]
The quantum red-shift problem - [Most of what I've read recently have rejected quantum redshift, and that normal voids and filaments can account for what we've seen. In any event, the quantization isn't well established, is it?]
The horizon problem - [Why isn't the pokiness of light not the obvious answer here? We can only see the photons which have reached us.]
The colliding galaxy problem - If all matter/energy is moving outward from a central point, how do galaxies end up headed toward each other.
[matter ISN'T moving outward from a central point, it is uniformly expanding. Galaxies collide because their local gravity is stronger than the effects of dark energy]
The flatness problem - [I was unaware that this is considered a problem, could you give me more here? Are you just asking "why flat and not open/closed?"]
The age problem - [I'd love some examples here, I'm not sure how to respond otherwise]
The microwave background radiation problem - [lower than it was originally predicted? Why wouldn't the answer be that the universe was older than they thought it was when then discovered the CMBR?]
The thermal state problem - [No answer here whatsoever. I've this filed under the "mysteries to be unlocked" heading. Best theory I've heard offered is that the BB doesn't just account for matter/energy but also spacetime. There simply "wasn't" before the BB.]
The helium-hydrogen ratio problem - [The theory is balanced against measurements. The new measurements don't invalidate the model, only change the data in.]
The baryon-photon ratio problem - [The theory is balanced against measurements. The new measurements don't invalidate the model, only change the data in.]
The density fluctuation problem - [Indeed, they arose from inflation]
The exotic relics problem - [The rarity of monopoles could allow their density to be so low, that we just haven't looked long enough (or well enough) to see one. That they haven't been seen isn't a problem, if they are never seen, it would be. We've only been looking for them for a short time cosmically, and we are still refining our methods]
The cosmological constant problem - [Because the constant isn't an effect of gravity, but of Dark Energy... which is much less powerful]
The Doppler red-shift problem - [I'd love examples here. The first pass at an answer is extreme gravity, which GR says acts just like velocity.]
The negative curvature of space problem - [I thought this was resolved after WMAP, the universe is not curved.]
The faster than light problem - ["some theories" are not the same as the standard model. That said, inflation specifically allowed for FTL travel and explained how it happened. It did not violate the standard model.]