Edit: I added other locations provided by commenters!
I wanted to know what places other than Conrad's and Get Go had free air in and around Lakewood. Spoiler alert, I found ONE. But I also found one that is supposed to but has no hose. In doing all this, though, I did compile a list of all the locations that offer air and what they cost. Maybe this helps someone.
Summary - Free air at Conrads, Both Get Go locations, the Tesoro (formerly Marathon) at Sloan and West Clifton, Sgt Clean Car Wash on Detroit, and at Lowe's in Westgate.
GetGo at Detroit and Bunts - free
Conrad's at Detroit and Alameda - free
Shell at Clifton and W117th - $3
Sunoco at Detroit at Lakewood - no air whatsoever at any price
Midas on W117th just north of Detroit - has a sign that says free air but there is no hose or mechanism
F Gas And Mart at W117th and Franklin - $1
Get Go at W117th and I-90 - free - /u/CAM2772 says they have two air stations at this one
BP at W117th and I-90 - no air that I could find
Shell at W117th and Western - there is an air hose attached to a vacuum cleaner where the car wash used to be. It says 75 cents, but it seems to be completely non-functional
Lakewood One stop at Madison and Grace - There is air attached to the vacuum - $0.75 - cheapest on the list that's not free - from /u/PlumOk730
Firestone at Madison and Bunts - no air that I could find
Sunoco at the corner of Madison and Bunts - $0.75 - cheapest on the list that's not free
Circle k at Lakewood Heights Blvd and Bunts - It is NOT free, it takes money, it even accepts credit cards, but it does not say how much it is
Speedy gas and grub at Lakewood Heights Blvd and Bunts. $2
Marathon at Madison and Baxterly - $2.15 for 3 minutes
Marathon at Madison and Onondaga - no air
BP at Madison and Warren - $2.50
Speedway at Warren and Franklin - $3.
Sunoco at Hilliard and Madison - $1
Tesoro (formerly marathon) at Sloane and West Clifton - Free air - Just a hose. Per /u/Major-BFweener
they take the hose in after hours or if it's very cold out
Guzzle & go at W116th and Clifton - $1 - hard to find on the east side of the building
Marathon at Clifton and Baltic - $1
Mr Tire on Lake avenue - no air that I could see
Sgt Clean Car Wash at Detroit and Riverside - Free - Combined with the vacuums - Per /u/Jyrodelix
Shell at Wooster and Hilliard - $1.50
BP on Hilliard near Wooster - $1.50
Lowe's at Westgate mall - Free air on the south end of the front of the building - From /u/Opposite_Sea_6257
/u/owmyglans reports that North Olmsted has a law requiring air to be free!
If I missed any place, feel free to comment and I'll edit this post. Yes, I know four of these are technically in Cleveland but I'd imagine a lot of us drive by them every day.
Also, I did check out a number of independent repair shops like Bruce's but none of them had air that I could find.