Compare CSV to Array

Ok, easiest way to do this is to use Compare-Object, and a little magic with Select.

I'm going to assume that the ApplicationName column in your CSV is a list of strings that match up with the Name property in your Windows Services list. So let's start by importing that CSV, and changing the property name of ApplicationName to just Name, so that it matches the related property on your Windows Service objects.

$masterList = Import-Csv $csvLocation | Select @{l='Name';e={$_.ApplicationName}}

Then we simply use Compare-Object to see what's in both lists:

Compare-Object (Get-Service) -DifferenceObject $masterList -Property Name -IncludeEqual

If you wanted to parse that you can always pipe it to a Where clause, or use combinations of -IncludeEqual and -ExcludeDifferent parameters:

$masterList = Import-Csv $csvLocation | Select @{l='Name';e={$_.ApplicationName}}
$myServices = Get-Service
$foundServices = Compare-Object $myServices -DifferenceObject $masterList -Property Name -IncludeEqual -ExcludeDifferent
$servicesNotInMaster = Compare-Object $myServices -DifferenceObject $masterList -Property Name | Where {$_.SideIndicator -eq '<='}
$servicesNotFoundLocally = Compare-Object $myServices -DifferenceObject $masterList -Property Name | Where {$_.SideIndicator -eq '=>'}

Or using the Switch cmdlet to do it all in one go:

$masterList = Import-Csv $csvLocation | Select @{l='Name';e={$_.ApplicationName}}
$myServices = Get-Service
Switch(Compare-Object $myServices -dif $masterList -prop Name -includeequal -PassThru){
    {$_.SideIndicator -eq '<='} {[array]$servicesNotInMaster += $_}
    {$_.SideIndicator -eq '=>'} {[array]$servicesNotFoundLocally += $_}
    {$_.SideIndicator -eq '=='} {[array]$foundServices += $_}
}

Edit: Ok, updating from your addition to the OP. Looks like you could be well served by simply using a Where clause rather than getting services over and over.

$services = Get-Service -ComputerName $serverName | Where{$_.Name -like 'ops*' -or $_.Name -like 'Centinel*'} | Select -Expand Name

Then you import your CSV, and use Select -Expand again to get the value of the property, rather than looping through it like you were before.

$masterList = Import-Csv $csvLocation | Select -Expand ApplicationName

Now you just have two arrays of strings, so this actually gets even simpler than comparing objects... You can use the -in operator in a Where statement like this:

$services | Where{$_ -in $masterList} | ForEach{"$_ match found"}

That basically filters the $services array to look for any strings that are in the $masterList array. This will only work for exact matches though! So if the service is listed as 'OPS-AmazonServer', but in your CSV file it is listed at just 'AmazonServer' it will not work! I use that example specifically because you have that in your example in your question. You specifically call out the service named 'OPS-AmazonServer' and then in your CSV sample you list just 'AmazonServer'.

If the listings in the CSV are partial strings that you want to match against you could use RegEx to do it. This will probably make less sense if you aren't familiar with RegEx, but this would work:

$services = Get-Service -ComputerName $serverName | Where{$_.Name -like 'ops*' -or $_.Name -like 'Centinel*'} | Select -Expand Name
$masterList = (Import-Csv $csvLocation | ForEach{[regex]::escape($_.ApplicationName)}) -join '|'
$services | Where{ $_ -match $masterList } | ForEach{"$_ match found"}