Bluetooth doesn't turn on unless I reboot the phone. Data connection drops out and reqs a reboot at least once a day. Painstakingly slow speeds on ATT. Phone overheating. The list goes on.
As for battery, modern LTE chips draw about as much battery as 3G chips.
I get a similar issue where I can't turn on bluetooth unless I reboot, but it occurs about once a month for me. I am assuming that you have done a factory reset on the many Nexus 4 replacements that you have received. Have you tried turning off wifi before turning on bluetooth? I heard the wifi radio "fights" with the bluetooth radio, so that's why bluetooth doesn't turn on. Maybe give that a shot?
As for your data connection, are we talking about wifi or mobile data? If it's wifi, maybe you can download a wifi fixer app? It could also be your router. Maybe you should call your broadband ISP to get a new router?
AT&T can have slow speeds, depending on your location. Have you tried T-Mobile's $30 prepaid plan? You get 5 GB of HSPA+ data per month. Maybe you'll have better luck with T-Mobile. It's prepaid, so there's no contract. If it doesn't work out, you can cancel without an ETF.
When you say your phone overheats, does it get to point where it shuts down or behaves erratically? It could be a crazy app. Do you have Facebook installed? If so, maybe you should delete it. After I deleted Facebook, my phone hasn't been warm, much less hot.
There may be other apps that cause the CPU to work harder than it should. Perhaps you should do a factory reset, then slowly install apps, one by one. See if your phone gets hot when you install a new app. It's a painstaking process, but you may need to do it unless you can replicate the problem easily.
Let us know if you need more advice. I'm sure there are people willing to help you out!
Except 5/5 is the users I know with no Bluetooth problems out of the 5 who I know, while those 30 are out of the millions of Nexus 4 owners.
Sent from my pure Google Nexus 4 using Android Central Forums
The 5 people you know also belong to the millions of Nexus 4 users. So it's still really 5 versus 30.
Besides, I only checked one website. There may be more websites with more users having similar issues.