1st point is that those listed (AA AAA D CR123) are battery sizes, the specific battery chemistry dictates if it can be recharged.

• AA AAA and D are commonly primary (disposable) chemistry which cannot be recharged. They typically run at 1.5V. Of these Alkaline, Lithium-Iron-disulfide, and zinc-carbon are the main options, Zinc-carbon are terrible, acceptable only for TV remote controls, alkaline are standard, Lithium-iron-disulfide is excellent but very expensive.
• Nickel-metal-hydride NiMH chemistry runs at 1.2V so it is compatible with most devices designed for 1.5V alkaline, this has the advantage of being rechargeable, however the energy density is terrible compared to other rechargeable chemistry. These are commonly available in AA AAA and D sizes due to the backwards compatibility.
• CR123 are commonly 3V primary cells which use lithium-magnesium LiMn chemistry. Some rechargeable Lithium ion versions are available which operate at 3.6V and may be compatible with your devices.

So let's assume you have NiMH rechargeable cells in the above sizes and want to charge them from solar, IMO the best option is to use USB based chargers and solar panels as they are universal and the 5V power is easily stepped down by a simple charger. I've seen NiMH chargers which take 4 AA/AAA cells and charges them together from USB but it can also work as a powerbank, taking power from 4 AA/AAA cells (either chemistry) and delivering USB output to charge your phone etc, thus giving you plenty of resilience. A typical AA NiMH holds 2000mAh @ 1.2V so 2.4Wh of energy, 4 of these together is 9.6Wh and will comfortably recharge in 2 hours, so about 5W of power is needed.

The CR123 could be lithium ion rechargeable, which needs a different charger as the voltage is different. This is a very small capacity cell, so power is very low.

I would like to make the case for upgrading from NiMH chemistry to lithium ion for all your devices, they have double the energy density and don't self discharge like NiMH. A single 18650 cell has the same energy as 4 NiMH AAs and the higher voltage drives lights with higher output. You also have much more options for chargers and devices with 18650 cells, and they are readily available and can be scavenged from many devices like laptops and PDQ machines.

In any event you're looking at about 5W of solar, but due to efficiency I would recommend you look at 10W panels which have 2 USB outputs. This way you can charge 2 devices at once and make the most of the sunlight, I find charging something which is almost full (trickle charging) and something almost flat (fast charging) together is most effective. 10W solar is not an unreasonable size, needing about 1 square foot of solar cells, these are available as efficient but fragile monocristaline cells of flexible thin film, and can be foldable.

Any product which combines a battery and a solar panel in one item is trash and must be avoided, for reasons of resilience, thermal, scale, cost, etc.