I hate to correct the OP, but there's a lot of errors here with the history if biological and non-biological detergents (I'm ex-Unilever)
Persil was the first major laundry detergent launched in 1909, which was made by adding a bleaching agent to powdered soap.
Perisl Automatic was launched in the early 70's. Unlike the older style, it was low sudsing specifically for automatic washers. It was however still non-bio at this point.
The first biological washing detergent was Ariel, launched in 1968. This was a high-sudsing powder designed for twin tub washers of that era. Ariel was very successful but didn't become available as a powder for Automatic's until 1983.
In 1984, to compete with the new Ariel Automatic, Persil launched "New System Persil Automatic" which was biological. Persil made absolutely no mention of it being biological on the packaging or in the ad campaigns. This caused an absolutely outcry with British mothers who angrily complained and boycotted the brand, citing enzymes causing irritation to skin. As a result, Persil brought back it's old non-biological formula and the 2 have been sold alongside eachother ever since.
Persil Power was a seperate issue altogether that happened in 1994 and not related to the bio/non-bio debate. That was caused by Persil desperately trying to keep up with new "compact" powders as they were known, and made a washing powder that cleaned brilliantly. Infact it cleaned so well that it ate away the fabric on clothes.
LapinR0se is absolutely right in that non-bio detergents aren't really a thing overseas and if they are, they are only available as a wool/silk detergent and not an everyday powder or liquid. There's also no scientific evidence to suggest that enzymes cause skin irritation. Perfumes, dyes, optical brighteners and even soap have all been linked to irritation. Chances are if you're having a reaction to bio detergent, it's the perfume or dye, which could be in either the detergent or the fabric softener, that's causing an issue and not the enzymes. Non-bio's are purposely made with less scent to keep that area of the market up.
Regarding liquids, whilst they are ok for dark coloured clothes, powder is essential for whites, light colours or anything where hygiene is a factor like bedsheets, towels, nappies or cleaning cloths. Liquids are a lot cheaper to manufacture than powders and less value for money, hence the big brands did such a push for them. I was around when the first liquids were being launched and management couldn't believe they were actually getting people to buy it. Yes, they do help to protect colours but if you're wanting more of a "one for all" detergent, stick to powder as it has far better stain removal and keeps the washing machine cleaner