From the image you attached I see CalSTRS pension, so I assume that means you teach in California. I search "california teacher 403b" and found
https://www.calstrs.com/403bcomparecom which led me
https://www.403bcompare.com. This is also listed on your image, but I didn't know this was a California only 403(b) website.
From their I went to Browse Vendors and, from your list, found Fidelity Investments, clicked Product List, then selected the 403b, and found the
investment options. From there I clicked the Expense Ratio Heading until it sorted from lowest to highest and found Fidelity Total Market Index Premium (FSTVX, ER 0.02%), FidelityŽ US Bond Index Premium (FSITX ER 0.03%), and Fidelity International Index Premium (FSIVX ER 0.05%). These 3 funds would be perfect options to build a classic 3 fund portfolio from and are the equivalents of the Vanguard VTSAX, VBTLX, and VTIAX that you'll most commonly see referenced.
For an even simpler option, look at any of the index target date funds with names like Fidelity Freedom Index 2050 Investor (FIPFX ER 0.14%). These are made up the previous 3 funds plus an international bond fund and handle all of the rebalancing for you, so you can just put everything in the one fund and forget about it. These are a perfectly good option if you're rather set it and forget it. Pick one with a date close to when plan to retire. Be careful to pick one that says "Index" in the title as your plan also has funds like Fidelity Freedom 2050 (FFFHX ER 0.75%), which is also a target date fund, but is actively managed, and as you can see has a much higher expense ratio.
I also happened to find that at least some people with California 403(b)s must have Vanguard as a vendor, because they're also listed on the 403(b) compare site (
Vanguard Investment Options). It's strange that they're not on the list you posted, so maybe not all plans are available at all schools, or maybe your list is outdated, so it might be worth digging some more and seeing if that's the case and Vanguard actually is an option now, but the Fidelity funds I posted above actually have lower expense ratios than the available Vanguard equivalents, so I'd probably just go with Fidelity and not bother digging.
It also looks like CalSTRS Pension2 could be a good option as it has a number of Vanguard funds available (
Investment Options).
You can look at other vendors using the process I described above, but I wouldn't both going beyond those two.
You'll notice that there is an "annual cost" listed for each of the vendors I linked to above. This is a good quick metric, but it's a little misleading because it's made up of actual fees plus the cost of the average expense ratio for the vendor on a $10,000 investment (which invisibly comes out of the investment return). You can see the breakdown between the two expenses by clicking "Cost Details" under the amount. The reason it's misleading is that it favors low expense ratio vendors (like Vanguard) over mixed expense ratio vendors (like Fidelity), but if you pick the low expense ratio investments from Fidelity you'll actually save money as you'll spend the same (or less) on the expense ratio, but Fidelity has a $24 Custodial Fee while Vanguard has a $60 Record keeping fee. CalSTRS Pension2 has a $25 Administrative Fee and good low expense ratio Vanguard funds available.
You might also find it worthwhile looking around the
Compare Products or
Find Employer to confirm what I found since both appear to let you select your actual district or school so you can see what's available.
Assuming you can confirm what I found above (record keeping fee and available investments) is accurate for your employer, I would go with Fidelity.
As other have said, also look into whether you have access to a 457(b). I search for "california teacher 457" and it seems like at least some California state employees are eligible for a 457, but I couldn't tell if that included teachers. Governmental 457(b)s are cool because, unlike a 403(b), you can withdraw from the without penalty before you are 59.5 without jumping through hoops (still possible with 403(b), there are just some hoops, so still put money there) -- this makes them perfect for early retirees. They also have their own contribution limit, so, if you can afford to, you can contribute $19k (2019 limit) to both a 403(b) and a 457(b). Non-govermental non-profits can also have 457(b), but these are subject to the creditors of the institution, which makes them somewhat risky, but since you're a government employee you don't need to worry about it, so I wanted to mention it so you don't get worried if you run across something about that.