I agree completely with BlueGas' response to phenolphthalein and methyl orange (the major flaw is that you can mistake a basic substance for neutral with methyl orange, and an acidic substance for neutral with phenolphthalein).
However, I will quite argue that bromothymol blue CAN be used to determine neutrality. The range of 6.0-7.6 gives more room for barely acidic substances to be identified more easily, however at around the pH range of 6.9-7.0 bromothymol blue will be GREEN. Traces of blue and yellow can be easily picked up to determine if something is actually barely acidic/basic.
Whilst by definition pH=7.0 is neutral, it is not simple to determine this using judgements simply from the naked eye.
(Litmus is only superior due to the extremely large range of 4.5-8.3, revealing a wider range of colour changes and allowing neutral substances to be more easily distinguished by the purple.)