I started writing a question to ask this very same thing, so instead I'm going to write my suggestions as an answer.

I think the adobe tags should have 'adobe' in front of them, to match how we handle other company products like the [Microsoft][1] line. So, without further ado:

###Rename
- [tag:photoshop-cs3] -> [tag:adobe-photoshop-cs3]
- [tag:photoshop-cs4] -> [tag:adobe-photoshop-cs4]
- [tag:photoshop-cs5] -> [tag:adobe-photoshop-cs5]
- [tag:photoshop-cs6] -> [tag:adobe-photoshop-cs6]
- [tag:photoshop-7] -> [tag:adobe-photoshop-7]
- [tag:flash-player] -> [tag:adobe-flash-player]
- [tag:photoshop-elements] -> [tag:adobe-photoshop-elements]
- [tag:flash-cs6]* -> [tag:adobe-flash-cs6]


<sub>*I'm not entirely sure which this tag is referencing, it's possible it should be merged with another tag?</sub>

---
As mentioned in the tag excerpt and comments above, [tag:adobe-flash] is meant to be for *Adobe Creative Suite Flash*, but is being used for other flash related products.

I therefore propose that this tag be renamed also: 

- [tag:adobe-flash] -> [tag:adobe-flash-suite] 

###Burn/Replace
- [tag:adobe] - [Manufacturer & Company Tags][2] should be replaced with specific product tags, adobe is also listed there.
- [tag:flash] - This is used for any and all things to do with flash technology, we should try and replace the use of this tag with other, more specific tags, and eventually make it a synonym of [tag:adobe-flash-player]

###Good tags
And for completeness sake, here are the other adobe tags I came across (that I think are fine):

[tag:adobe-creative-suite] 
[tag:adobe-acrobat]
[tag:adobe-reader]
[tag:adobe-illustrator]
[tag:adobe-indesign]
[tag:adobe-premiere]
[tag:adobe-fireworks]
[tag:adobe-air]
[tag:adobe-lightroom]
[tag:adobe-after-effects]
[tag:adobe-media-encoder]
[tag:adobe-bridge]

If there's anything I've missed or any other discrepancies you can spot let me know and I'll edit this


  [1]: https://superuser.com/questions/tagged/microsoft-excel+or+microsoft-word+or+microsoft-outlook+or+microsoft-excel-2010+or+microsoft-office+or+microsoft-excel-2007+or+microsoft-outlook-2010+or+microsoft-outlook-2007+or+microsoft-word-2010+or+microsoft-powerpoint+or+microsoft-word-2007+or+microsoft+or+microsoft-access+or+microsoft-excel-2013+or+microsoft-virtual-pc+or+microsoft-office-2007+or+microsoft-office-2010+or+microsoft-outlook-2013+or+microsoft-excel-2003+or+microsoft-visio
  [2]: https://meta.superuser.com/q/8402/107240