I use both on free tier and I am happier with PostMark.
I had several issues when sending to Microsoft (hotmail, msn, etc.) domains via MailGun because someone exceeded granted quota for outbound IP address and since then I balance outgoing emails using both.
As mentioned by others, MailGun support doesn't care much about queries from free tier users so I would go for PostMark if I had to pay (more intensive use) or recommend to someone.
MailGun's support is horrible. I kept emailing them to let them know about login issues, and it would take them a week to get back to me. After a couple tries, they just dropped the ball and stopped following up on the ticket. Message received.
I had several issues when sending to Microsoft (hotmail, msn, etc.) domains via MailGun because someone exceeded granted quota for outbound IP address and since then I balance outgoing emails using both.
As mentioned by others, MailGun support doesn't care much about queries from free tier users so I would go for PostMark if I had to pay (more intensive use) or recommend to someone.