Suggest me 3m Micro to A-Type USB and Type-C to A-Type USB cable with not less than USB 3 with not less than 2A support. I tried to find these but didn't find anywhere.
Micro B (3.0) <-> A
Though I cannot personally vouch for the integrity of any of these cables, StarTech, C2G, Cable Matters, and Tripp-Lite are all fairly reputable manufactures who produce cables that fit your description.
Micro B (3.0) <-> C
There are no cables of this length that I would be comfortable recommending. Per the @USBCGuy spreadsheet, the only cable in this category I'd be comfortable recommending is this AmazonBasics 0.9m one, which otherwise meets your requirements.
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@vasik988 Then you have conflicting requirements. The smaller Micro B connector is USB 2.0 only; the extension-y bit on the larger connector has the extra data pins needed for USB 3.0. – JMY1000 Jan 15 '20 at 3:26
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