Robert - as others have said, there are a few worth looking at. I don’t know how much you know about the place, but there are 2 or 3 things to keep in mind. First, when something says “Classico”, that doesn’t mean a style. It’s actually a region within the much larger Chianti zone. It’s kind of like ground zero, and you can find Chianti from other zones, like Ruffina, that may be less expensive and some of them are OK.
Then as others have pointed out, there are different styles. Monsanto, which I like a lot, is kind of “traditional” if you will - it’s not dark or heavy on the palate. The traditional grapes would be Sangiovese, Canaiolo, Ciliegiolo, Colorino, and even a white grape, but that’s rarely used these days. Today some are 100% Sangiovese, which I don’t believe was ever the norm, and some have these grapes and some include Merlot and/or Cab and/or Syrah.
But those don’t always translate into what you might think. I’m not 100% certain, but I think the Monsanto contains a bit of Merlot. Then there’s something like Viticcio, which James Suckling just loves. That also contains Merlot but it’s an entirely different wine. It’s usually pretty cheap though, which has that going for it. It’s just not 95 points or whatever he happens to give it this year.
Here are a few others to try:
Badia a Coltibuono Chianti Classico
Nipozzano Montesodi Riserva (this is by Frescobaldi and comes from Ruffina, rather than Classico)
Fonterutoli Chianti Classico
Then there are regions close by that can make pretty good wine, like Carmignano and Montepulciano. Montepulciano is, depending on who you talk to, related to, the same as, descended from, or completely different from Sangiovese. It doesn’t really matter though, because those wines tend to be less expensive and they can be great to have around the house for Tuesday night.