Example mapping template to pass everything to a Lambda non-proxy integration like in a proxy integration to use it with Powertools for AWS Lambda.

api_gateway_full_request_passthrough.vtl

#set($inputParams = $input.params())
{
    "resource": "$context.resourcePath",
    #set( $contextPath = $context.path )
    #set( $path = $contextPath.replace("{id}", "$input.params().path.get('id')") )
    "path": "$path",
    "httpMethod":"$context.httpMethod",
    "headers": {
        #set($params = $inputParams.get("header"))
        #foreach($paramName in $params.keySet())
        #if( "$params.get($paramName)" == "" ) #set($paramValue = "None") #{else} #set($paramValue = "$params.get($paramName)") #end
        "$paramName" : "$util.escapeJavaScript($paramValue)"
        #if($foreach.hasNext),#end
        #end
        },
    "multiValueHeaders": "None",
    "queryStringParameters": {
        #set($params = $inputParams.get("querystring"))
        #foreach($paramName in $params.keySet())
        #if( "$params.get($paramName)" == "" ) #set($paramValue = "None") #{else} #set($paramValue = "$params.get($paramName)") #end
        "$paramName" : "$util.escapeJavaScript($paramValue)"
        #if($foreach.hasNext),#end
        #end
        },
    "multiValueQueryStringParameters":"None",
    "pathParameters": {
        #set($params = $inputParams.get("path"))
        #foreach($paramName in $params.keySet())
        #if( "$params.get($paramName)" == "" ) #set($paramValue = "None") #{else} #set($paramValue = "$params.get($paramName)") #end
        "$paramName" : "$util.escapeJavaScript($paramValue)"
        #if($foreach.hasNext),#end
        #end
        },
    "stageVariables": {
        #foreach($key in $stageVariables.keySet())
        "$key" : "$util.escapeJavaScript($stageVariables.get($key))"
            #if($foreach.hasNext),#end
        #end
    },
    "requestContext":{
        "resourceId":"$context.resourceId",
        "resourcePath":"$context.resourcePath",
        "httpMethod":"$context.httpMethod",
        "extendedRequestId":"$context.awsEndpointRequestId",
        "requestTime":"$context.requestTime",
        "path":"$context.path",
        "accountId":"$context.identity.accountId",
        "protocol":"$context.protocol",
        "stage":"$context.stage",
        "domainPrefix":"$context.domainPrefix",
        "requestTimeEpoch":$context.requestTimeEpoch,
        "requestId":"$context.requestId",
        "identity": {
            #set($params = $context.identity)
            #foreach($paramName in $params.keySet())
            #if( "$params.get($paramName)" == "" ) #set($paramValue = "None") #{else} #set($paramValue = "$params.get($paramName)") #end
            "$paramName" : "$paramValue"#if($foreach.hasNext),#end
            #end
        },
        "domainName":"$context.domainName",
        "apiId":"$context.apiId"      
    },
    #if( "$input.json('$')" == "" ) #set($bodyValue = "None") #{else} #set($bodyValue = "$input.json('$')") #end
    "body": $bodyValue
}