AWS managed AmazonEKSClusterPolicy 

{
    "Version": "2012-10-17",
    "Statement": [
        {
            "Effect": "Allow",
            "Action": [
                "autoscaling:DescribeAutoScalingGroups",
                "autoscaling:UpdateAutoScalingGroup",
                "ec2:AttachVolume",
                "ec2:AuthorizeSecurityGroupIngress",
                "ec2:CreateRoute",
                "ec2:CreateSecurityGroup",
                "ec2:CreateTags",
                "ec2:CreateVolume",
                "ec2:DeleteRoute",
                "ec2:DeleteSecurityGroup",
                "ec2:DeleteVolume",
                "ec2:DescribeInstances",
                "ec2:DescribeRouteTables",
                "ec2:DescribeSecurityGroups",
                "ec2:DescribeSubnets",
                "ec2:DescribeVolumes",
                "ec2:DescribeVolumesModifications",
                "ec2:DescribeVpcs",
                "ec2:DescribeDhcpOptions",
                "ec2:DescribeNetworkInterfaces",
                "ec2:DetachVolume",
                "ec2:ModifyInstanceAttribute",
                "ec2:ModifyVolume",
                "ec2:RevokeSecurityGroupIngress",
                "ec2:DescribeAccountAttributes",
                "ec2:DescribeAddresses",
                "ec2:DescribeInternetGateways",
                "elasticloadbalancing:AddTags",
                "elasticloadbalancing:ApplySecurityGroupsToLoadBalancer",
                "elasticloadbalancing:AttachLoadBalancerToSubnets",
                "elasticloadbalancing:ConfigureHealthCheck",
                "elasticloadbalancing:CreateListener",
                "elasticloadbalancing:CreateLoadBalancer",
                "elasticloadbalancing:CreateLoadBalancerListeners",
                "elasticloadbalancing:CreateLoadBalancerPolicy",
                "elasticloadbalancing:CreateTargetGroup",
                "elasticloadbalancing:DeleteListener",
                "elasticloadbalancing:DeleteLoadBalancer",
                "elasticloadbalancing:DeleteLoadBalancerListeners",
                "elasticloadbalancing:DeleteTargetGroup",
                "elasticloadbalancing:DeregisterInstancesFromLoadBalancer",
                "elasticloadbalancing:DeregisterTargets",
                "elasticloadbalancing:DescribeListeners",
                "elasticloadbalancing:DescribeLoadBalancerAttributes",
                "elasticloadbalancing:DescribeLoadBalancerPolicies",
                "elasticloadbalancing:DescribeLoadBalancers",
                "elasticloadbalancing:DescribeTargetGroupAttributes",
                "elasticloadbalancing:DescribeTargetGroups",
                "elasticloadbalancing:DescribeTargetHealth",
                "elasticloadbalancing:DetachLoadBalancerFromSubnets",
                "elasticloadbalancing:ModifyListener",
                "elasticloadbalancing:ModifyLoadBalancerAttributes",
                "elasticloadbalancing:ModifyTargetGroup",
                "elasticloadbalancing:ModifyTargetGroupAttributes",
                "elasticloadbalancing:RegisterInstancesWithLoadBalancer",
                "elasticloadbalancing:RegisterTargets",
                "elasticloadbalancing:SetLoadBalancerPoliciesForBackendServer",
                "elasticloadbalancing:SetLoadBalancerPoliciesOfListener",
                "kms:DescribeKey"
            ],
            "Resource": "*"
        },
        {
            "Effect": "Allow",
            "Action": "iam:CreateServiceLinkedRole",
            "Resource": "*",
            "Condition": {
                "StringEquals": {
                    "iam:AWSServiceName": "elasticloadbalancing.amazonaws.com"
                }
            }
        }
    ]
}

AmazonEKSServicePolicy 

{
    "Version": "2012-10-17",
    "Statement": [
        {
            "Effect": "Allow",
            "Action": [
                "ec2:CreateNetworkInterface",
                "ec2:CreateNetworkInterfacePermission",
                "ec2:DeleteNetworkInterface",
                "ec2:DescribeInstances",
                "ec2:DescribeNetworkInterfaces",
                "ec2:DetachNetworkInterface",
                "ec2:DescribeSecurityGroups",
                "ec2:DescribeSubnets",
                "ec2:DescribeVpcs",
                "ec2:ModifyNetworkInterfaceAttribute",
                "iam:ListAttachedRolePolicies",
                "eks:UpdateClusterVersion"
            ],
            "Resource": "*"
        },
        {
            "Effect": "Allow",
            "Action": [
                "ec2:CreateTags",
                "ec2:DeleteTags"
            ],
            "Resource": [
                "arn:aws:ec2:*:*:vpc/*",
                "arn:aws:ec2:*:*:subnet/*"
            ]
        },
        {
            "Effect": "Allow",
            "Action": "route53:AssociateVPCWithHostedZone",
            "Resource": "*"
        },
        {
            "Effect": "Allow",
            "Action": "logs:CreateLogGroup",
            "Resource": "*"
        },
        {
            "Effect": "Allow",
            "Action": [
                "logs:CreateLogStream",
                "logs:DescribeLogStreams"
            ],
            "Resource": "arn:aws:logs:*:*:log-group:/aws/eks/*:*"
        },
        {
            "Effect": "Allow",
            "Action": "logs:PutLogEvents",
            "Resource": "arn:aws:logs:*:*:log-group:/aws/eks/*:*:*"
        },
        {
            "Effect": "Allow",
            "Action": "iam:CreateServiceLinkedRole",
            "Resource": "*",
            "Condition": {
                "StringLike": {
                    "iam:AWSServiceName": "eks.amazonaws.com"
                }
            }
        }
    ]
}

Inline Policy 

{
    "Version": "2012-10-17",
    "Statement": [
        {
            "Action": [
                "ec2:DescribeInternetGateways",
                "ec2:DescribeAccountAttributes",
                "ec2:DescribeNatGateways",
                "ec2:DescribeVpcAttribute"
            ],
            "Resource": "*",
            "Effect": "Allow"
        }
    ]
}