My best encounter was with two juvenile bobcats when I was on a business trip to my corporate headquarters in the Dallas area (Frisco). I drove to The Colony, TX and played this park called Bill Allen Memorial.
This course was in the middle of a really nice upscale neighborhood. I was in the middle of the course and saw two bobcats pouncing around playing and chasing each other. They looked to be less than a year old. I actually chased them for some time and have some video and pics on an old smart phone somewhere. The bobcats in TX are awesome looking. I'm from MO and their coat is more of a dull gray, but these were red/brown color with a cool pattern. After some Googling I come to find out litters of 2 are very common for bobcats and they stick around Mom while juveniles who can be highly aggressive if their young are threatened, so my NatGeo filming escapade may have been poor judgment. I was raised a hunter and have spent a lot of hours in the woods at dawn/dusk and can say that bobcats are elusive little guys, so this midafternoon encounter was pretty awesome and these guys were keeping distance, but certainly had some level of curiosity with me.
I told a I guy I ran into and he said it's a pretty common sighting and then told me he was playing there and saw a mountain lion once - which is plain crazy because this is not a huge expanse of land and is literally a neighborhood park, but he could of been trying to scare me - the non local guy.