7" X 4" x 4" is a very limiting size which also dictates an ~ 3" driver.
If you are willing to step up a bit in size, something similar to the Cambridge Audio S30 (9" X 6.3" X 8") will have a 4.5" midbass and a 1" soft dome tweeter and likely be a discernible step up in sound. 4 of those paired with the S50 center speaker (2 X 4" midbass and 1" soft dome tweeter) will set you back ~ $650.
Other possibilities could be the NHT Superzero 2.0 (9" X 5.5" x 5"), but their -3dB is 85Hz and have a 4dB lower sensitivity of 86dB. The Audioengine P4 passive is a contender (9" X 5.5 X 6.5"), but they don't have grills and would not likely pass your WAF.
Steve
S30 is definitely a big step up over small speakers like the Takes... but for someone used to the Takes, the S30 will look awful big and bulky. I currently have a pair, and without grill they're just over 9" deep. The 4.5" woofer actually measures closer to 5"... and offers alot more performance than you'd think based on the specs.
The NHT SuperZero is nice, but I can say from experience (and based on HomeTheater.com measurements) it doesn't not get anywhere near 85Hz at -3dB.
The Energy V-Mini would be a nice step up from the Takes, with only a small change in size - 7.5 x 4.75 x 5.5. They are much more sensitive than the SuperZero 2.0, and have equal or better bass extension - again, based on personal experience with both.
If you have the cash, the Paradigm MilleniaOne looks like one to beat when it comes to tiny speakers... The Sound & Vision Mag measurements are certainly impressive. The one major downside is the low sensitivity (measured around 84dB).