I did nearly the same thing. I just replaced my AVR-3803 with a AVR-2312CI. Mainly due to money but I really wouldn't use the extra features of the 3312. While I used most of the AVR-3803's features, the AVR-3312CI just had a lot I'd never use plus the 2312 sounds remarkable. Without Audyssey, it sounds just like the AVR-3803 and powers my speakers just as well. Even though the power is obviously down from our power house AVR-38XX series, the volume gain seems higher. The AVR-3803 did some funky things with the gain. If you adjusted speaker gains above 0, it limited the overall gain in the volume knob.
Anyhow, if you are using a lot of analog A/V connections, you'll be limited. Denon and Yamaha seem to be the only makers that really cater to analog and recording.
The AVR-3312ci and AVR-2312ci both have the nearly the same number of analog, digital, and HDMI inputs and ouputs. The AVR-3312ci adds a composite connection to the Bluray input where on the AVR-2312ci, it's just an analog audio input only, that can have component video and digital audio assigned to it. It also offers a phono preamp input. It also offers zone 2 composite video and analog audio outputs and zone 3 analog audio outputs, along with preamp outputs.
The AVR-3313CI compared to the AVR-3312ci, drops the AM Tuner, Bluray composite input connection, the Dock input wiyh S-Video input connection and the Media Player (DVR) S-Video input connection. It does add a Zone 2 HDMI output and a new Coaxial DENON HD LINK input. Supposedly it will also pass the 4K resolution vapor ware that doesn't exist yet. We'll see if it ever gets used in the fashion where it's compatible to the specs these receivers hope it will be. I doubt that it will be within the same spec. It will likely be a new spec with 9.2 surround with surround back and height channels along with stereo subs. If you're going to make 4X the resoution, you better make sure the surround sound is just as spectacular!
Only you can decide which will do you good but I won't own a receiver without a tuner, then it's an integrated amp, RIGHT?? Well whatever this AVR-3313CI is, I wouldn't own it without the AM Tuner as we use it for weather, traffic, and local sports/events. I also try to get the most analog connections for my gear that wasn't just bought yesterday.
If you are like me and don't need the extra HDMI output, the remote zone outputs, and most of the other features, you may like the AVR-2312ci also. If you are pushing harder to drive 6 ohm to 4 ohm nominal impedance speakers, you may want to opt for the AVR-3312 for sure or even the better AVR-4311CI.
BTW, I found the Audyssey to sound pretty bad with my room setup so I wouldn't let this decide my choice. I have it disabled and I'm not the only one that doesn't care for the Audyssey. You can find a few of us who found the results of Audyssey less than good.
Also if money has no limit, the AVR-4311ci would be best. However I think right now the best bang for the buck does go to the AVR-2312ci. It's selling in some authorized places, just slightly over half it's 'original' MSRP price.
Good luck in your decision.