I'll second the Midland HH54VP2. It's nice that it is rechargeable, but can also run on AA batteries in a pinch. I have only two complaints: The rechargeable battery only lasts a couple of days, even in standby, and you can't selectively defeat the siren. So for that one, I have the siren disabled entirely. I don't need to be alerted to a flash flood watch.
I've got the Midland WR-300 upstairs, which has the ability to block individual alerts. Other than the alerts that you can't block (like tornado warnings and emergency action notifications), I think I've only enabled severe thunderstorm warning and tornado watch. Only complaint I have about the WR-300 is that it doesn't detect the EOM signals, so the voice part does not turn off automatically, I think it just waits 5 minutes.
I've got the Reecom R-1630 on order... it seems to have all the features of the WR-300 - except the AM/FM radio - plus it has EOM detection.