Alternator? 1987 Camry. Just changed battery, alternator is charging at 14V but the 'charge' light is displaying on the dashboard.

Check the main lead from the alternator back to the battery especially at the battery terminal where it may be corroded off. While the alternator may be good if there is a failed diode in the rectifier in the back of the alternator it will not charge as it will be producing ac current and you need dc to charge the battery.

For some reason it doesnt think the alternator isnt working.

check charge of battery......put a volt meter across it ,,,should be above 12.3 volts.
2.check to see if alternator is working correctly........put 1 probe on the of alternator and the other probe to the body of the alternator....the reading should be 14v with the car engine running .if not then your alternator needs replacing.
3.with the car running probe your battery...should be reading above 14v.....this means alternator is working .
4.personally i think your battery is not holdng its charge,i would renew it,they cost

If you have a fully charged battery when you installed then 14 volts is way to much charge for the battery which would mean that the alternator probably has a faulty regulator and the alternator needs to be changed otherwise you will continue to install new batteries. If the battery was in an uncharged state then it is possible for the alternator to charge at full capacity to charge up the battery.

What place verified the alternator for you?
If its a place like Autozone,all they can do is a normal running check of it,They cannot put a load on it to see how much it can put out.It really sounds like the voltage regulator is not changing,maybe one of the diodes are bad in the alternator.

The battery light trips when it detects an issue with the charging system. Very rarely, the battery light can trip if there's an issue with the PCM, but this is very rare.

Take a voltmeter with the car off and measure the voltage on the leads of the batter, should be around 12V+-.2. With the car running, measure again and this time it should read 13V-14V. If it does read 13V-14V then it means that the alternator is working. If it is below 12V, then it means your alternator is not charging the battery properly. If it's above 14V, then it means your alternator is overcharging and damaging the battery.

Check your alternator as it sounds like it may be starting to go. The battery light trips when it detects an issue with the charging system. Very rarely, the battery light can trip if there's an issue with the PCM, but this is very rare.

Take a voltmeter with the car off and measure the voltage on the leads of the batter, should be around 12V+-.2. With the car running, measure again and this time it should read 13V-14V. If it does read 13V-14V then it means that the alternator is working. If it is below 12V, then it means your alternator is not charging the battery properly. If it's above 14V, then it means your alternator is overcharging and damaging the battery.

Take a voltmeter with the car off and measure the voltage, should be around 12V. With the car running, measure again and this time it should read 13V-14V. If it does read 13V-14V then it means that the alternator is working. If it is below 12V, then it means your alternator is not charging the battery. If it's above 14V, then it means your alternator is overcharging and damaging the battery.

Have you checked the alternator? The alternator may not be charging the battery. With engine running, check the voltage at the battery (it should be ~14V). If it's less than that, your battery won't charge properly. You can take your alternator to auto store to have it load tested also to be sure. Sometime alternator issues don't show up until it gets hot. Defective alternators have also been known to drain the battery after the car has stopped.

as soon as you say that the battery goes flat it pins one thing at me
your alternator
most cars these days run from the alternator and not from the battery
this can stop warning light ans wipers etc
it also charges the battery while driving
however it dose not explain the transition not shifting into gear
change the alternator and let me know what happens